classify the following random variables as discrete or continuous

The distance a rental car rented on a daily rate is driven each day. Blanca weighs x pounds. It is not possible to finish counting the time lengths of all movies. The number of winners in lotto for each day 7. The data for thefn1,fn2,fndiff,fs1,fs2,andfsdiff is given. The data is as follows: [Google Scholar . -0.37 Legal. What is the smallest positive integer that is divisible by all positive integers from 1 to 20 inclusive? This site is using cookies under cookie policy . Application 1. the number of defective computers produced by a manufacturer (10 mins.) Mostly, discrete random variables represent count data, such as the number of defective chairs produced in a factory. The number of bushels of apples per hectare this year. Are movie time lengths discrete or continuous variables? 2) Amount of milk used per drink. The LibreTexts libraries arePowered by NICE CXone Expertand are supported by the Department of Education Open Textbook Pilot Project, the UC Davis Office of the Provost, the UC Davis Library, the California State University Affordable Learning Solutions Program, and Merlot. So, it is a discrete variable. Each month a local blood bank sends an appeal to give blood to $250$ randomly selected students. C. 0.19 If so, give the values of $n$ and$p$. The number of winners in lotto for each day 3. Her sister weighs 12 pounds more. span(X). Two units in each shipment are selected at random and tested. (Make a reasonable estimate based on experience, where necessary.). If the ball lands in a red slot, he receives back the dollar he bet plus an additional dollar. The air pressure of a tire on an automobile. The number $X$ of days in the summer months that a construction crew cannot work because of the weather has the probability distribution \[\begin{array}{c|c c c c c} x &6 &7 &8 &9 &10\\ \hline P(x) &0.03 &0.08 &0.15 &0.20 &0.19 \\ \end{array}\] \[\begin{array}{c|c c c c } x &11 &12 &13 &14 \\ \hline P(x) &0.16 &0.10 &0.07 &0.02 \\ \end{array}\]. Find the probability that $X$ is two, three, or four. Classify the following random variable. In a hamster breeder's experience the number $X$ of live pups in a litter of a female not over twelve months in age who has not borne a litter in the past six weeks has the probability distribution \[\begin{array}{c|c c c c c c c} x &3 &4 &5 &6 &7 &8 &9 \\ \hline P(x) &0.04 &0.10 &0.26 &0.31 &0.22 &0.05 &0.02\\ \end{array}\]. Let $X$ denote the number of patients on any given day who require a sedative. 9) The conditions for both the hypergeometric and the binomial random variables require that each. \[\begin{array}{c|c c c } x &100 &101 &102 \\ \hline P(x) &0.01 &0.96 &0.03 \\ \end{array}\], Three fair dice are rolled at once. Variable X consists of number of automobile accidents which can be counted. Classify the following random variables as discrete or continuous: X: the number of automobile accidents per year in Virginia. (Enter != for as. a = 0.05.) Y: the length of time to play 18 holes of golf. So, it is a discrete variable. Book: Introductory Statistics (Shafer and Zhang), { "4.01:_Random_Variables" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "4.02:_Probability_Distributions_for_Discrete_Random_Variables" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "4.03:_The_Binomial_Distribution" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "4.E:_Discrete_Random_Variables_(Exercises)" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()" }, { "00:_Front_Matter" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "01:_Introduction_to_Statistics" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "02:_Descriptive_Statistics" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "03:_Basic_Concepts_of_Probability" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "04:_Discrete_Random_Variables" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "05:_Continuous_Random_Variables" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "06:_Sampling_Distributions" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "07:_Estimation" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "08:_Testing_Hypotheses" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "09:_Two-Sample_Problems" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "10:_Correlation_and_Regression" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "11:_Chi-Square_Tests_and_F-Tests" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "zz:_Back_Matter" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()" }, 4.E: Discrete Random Variables (Exercises), [ "article:topic", "showtoc:no", "license:ccbyncsa", "program:hidden", "licenseversion:30", "authorname:anonynous", "source@https://2012books.lardbucket.org/books/beginning-statistics" ], https://stats.libretexts.org/@app/auth/3/login?returnto=https%3A%2F%2Fstats.libretexts.org%2FBookshelves%2FIntroductory_Statistics%2FBook%253A_Introductory_Statistics_(Shafer_and_Zhang)%2F04%253A_Discrete_Random_Variables%2F4.E%253A_Discrete_Random_Variables_(Exercises), $ \newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}}}$ $ \newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash{#1}}} $$\newcommand{\id}{\mathrm{id}}$ $ \newcommand{\Span}{\mathrm{span}}$ $ \newcommand{\kernel}{\mathrm{null}\,}$ $ \newcommand{\range}{\mathrm{range}\,}$ $ \newcommand{\RealPart}{\mathrm{Re}}$ $ \newcommand{\ImaginaryPart}{\mathrm{Im}}$ $ \newcommand{\Argument}{\mathrm{Arg}}$ $ \newcommand{\norm}[1]{\| #1 \|}$ $ \newcommand{\inner}[2]{\langle #1, #2 \rangle}$ $ \newcommand{\Span}{\mathrm{span}}$ $\newcommand{\id}{\mathrm{id}}$ $ \newcommand{\Span}{\mathrm{span}}$ $ \newcommand{\kernel}{\mathrm{null}\,}$ $ \newcommand{\range}{\mathrm{range}\,}$ $ \newcommand{\RealPart}{\mathrm{Re}}$ $ \newcommand{\ImaginaryPart}{\mathrm{Im}}$ $ \newcommand{\Argument}{\mathrm{Arg}}$ $ \newcommand{\norm}[1]{\| #1 \|}$ $ \newcommand{\inner}[2]{\langle #1, #2 \rangle}$ $ \newcommand{\Span}{\mathrm{span}}$$\newcommand{\AA}{\unicode[.8,0]{x212B}}$. .. Goneril buys ten skeins to crochet an afghan. 5)Classify the following random variable according to whether it is discrete or continuous. Find the probability that the next litter will produce five to seven live pups. Psychological Research & Experimental Design, All Teacher Certification Test Prep Courses, Classifying Random Variables as Discrete or Continuous. Classify the following random variables as discrete or continuous: X: the number of automobile accidents per year in Virginia.. Y : the length of time to play 18 holes of golf.. M: the amount of milk produced yearly by a particular cow. What assumptions can you make out of this activity? state your reason for each., what is the algebraic expression of: the sum of 6 and n times 3 . This is continuous. Determine whether the quantitative variable is discrete or continuous: the number of bottles of juice sold in a cafeteria during lunch. Correct to give accuracy, the amount of water measured in liters. as described in the main body of the text. Often, continuous random variables represent measured data, such as heights, weights, and temperatures. Two fair dice are rolled at once. Let $X$ denote the net gain from the purchase of a randomly selected ticket. If the experiment of dropping the tack $15$ times is done repeatedly, what is the average number of times it lands with its point in the air? Machine learning (ML) is a field of inquiry devoted to understanding and building methods that "learn" - that is, methods that leverage data to improve performance on some set of tasks. Classify the following random variables as discrete or continuous. Find the value th How can a circle can be interpreted as a special case of an ellipse? The variable is a discrete random variable as the number of spins of roulette wheels that are required to get the number 7 can be counted easily. 4.83 0.34 Q:Based on statistics from a worldwide health organization in 2005 there was 37.4 Million people. The number of students in a school district is a countable data set. When dropped on a hard surface a thumbtack lands with its sharp point touching the surface with probability $2/3$; it lands with its sharp point directed up into the air with probability $1/3$. Suppose the, A:given data CWT wavelet coefficients were used by Molodova to classify squats and welds using acceleration data, while . Classify the following random variables as discrete or continuous. Continuous Random Variable are random variables that take an. Find the standard deviation of the length of time the bus takes to drive the length of its route. 1) Number of customers served by a coffee shop per hour. Find the minimum score the instructor can set so that the probability that a student will pass just by guessing is $20\%$ or less. Continuous variables are those that represent things that are measured, 3.56 km of railway laid, 5.77 l of paint used. Systems, methods, and non-transitory computer readable media containing instructions for causing at least one processor to perform operations for determining a display configurati . 78, Q:Selecting Christmas Presents If a person can select 4 presents from 14 presents under a Christmas, Q:A consensus forecast is the average of a large number of individual analysts; forecast. In easier definition, discrete random. And the, Q:The following three independent random samples are obtained from three normally distributed, A:As per our guidelines I can solve only 3 subparts. A player has to cross 10 hurdles in a hurdle race. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers. D. 3.4, Electricity bills in a certain city have mean $ 106.27 . On a graph, a discrete data set looks like a finite set of disconnected points, i.e.. On a graph, a continuous data set looks like a smooth line or curve, i.e.. Borachio works in an automotive tire factory. Discrete random variables take on values that are restricted to defined separated values, for example: integers or counts. Find the average time the bus takes to drive the length of its route. (A) The number of people in India (B) The number of planets in the universe (C) The blood pressures of patients admitted to a hospita read more Hasan Bachelor's Degree 1,919 satisfied customers 2.Classify the following as discrete or continuous random variables A. Determine the value $C$ must have in order for the company to break even on all such policies (that is, to average a net gain of zero per policy on such policies). 10 Will the owner have the cover installed? A fair coin is tossed repeatedly until either it lands heads or a total of five tosses have been made, whichever comes first. Draw as many straight lines passing through both points A and B. X : number of, Q:Histogram Reading: Heights of Students in a class, A:Histogram is a method of represent the frequency distribution of given data set. A professional proofreader has a $98\%$ chance of detecting an error in a piece of written work (other than misspellings, double words, and similar errors that are machine detected). 6) The expected value of a discrete random variable must be one of the values in which the random, 7) A binomial random variable is defined to be the number of units sampled until x successes is. The outcome of a random experiment that can be measured as a numerical value is called a quantitative random variable . If a carrier (not known to be such, of course) is boarded with three other dogs, what is the probability that at least one of the three healthy dogs will develop kennel cough? A corporation has advertised heavily to try to insure that over half the adult population recognizes the brand name of its products. The error rate of the first type is 13.99%, which is 6.99, 7.44, 4.47 and 3.02% lower than CART, SVM, CNN and RF respectively. Popl. Start your trial now! The spelling test is not finite. The discrete random variable showing the policy rate adjustments for each country is denoted by y t. . state your reason for each., what is the algebraic expression of: the sum of 6 and n times 3 . To, Q:The miles-per-gallon obtained by the 2019 model Q cars is normally distributed with a mean (mew) of, A:The question is about normal distribution N: the number of eggs laid each month by a hen. Issue three conclusions . (Two entries in the table will contain $C$). A discrete random variable $X$ has the following probability distribution: \[\begin{array}{c|c c c c c} x &77 &78 &79 &80 &81 \\ \hline P(x) &0.15 &0.15 &0.20 &0.40 &0.10 \\ \end{array}\]Compute each of the following quantities. the number of defective computers produced by a manufacturer. Plainmath is a platform aimed to help users to understand how to solve math problems by providing accumulated knowledge on different topics and accessible examples. View this solution and millions of others when you join today! P(Z0.1) and P (Z0.1), Q:This table gives approximate probabilities for scoring 0, 1, 2, 3, or 4 runs in one inning of Major, A:From given data we have : The weight of the professional wrestler. 2.02 Your friend Caroline helped you with the null, A:Given that, 1 $X$ is a binomial random variable with the parameters shown. Suppose a shipment has $5$ defective units. telephone area codes. Three coins are tossed and the random variable Z gives the number of tails. not binomial; trials are not independent. Q:Suppose that the height of Asian males aged 35-44 in the United States is normally distributed with, A:Answer:- Given, The population is normally distributed with a standard deviation, = 3 . $X$ is the number of black marbles in a sample of $5$ marbles drawn randomly and without replacement from a box that contains $25$ white marbles and $15$ black marbles. $X$ is a binomial random variable with parameters $n=12$ and $p=0.82$. 1. the number of defective computers produced by a manufacturer - DISCRETE, 2. the weight of newborns each year in a hospital - CONTINUOUS, 3. the number of siblings in a family of a region - DISCRETE, 4. the amount of paint utilized in a building project - CONTINUOUS, 5. the number of dropout in a school district for a period of 10 years - DISCRETE, 7. the number of female athletes - DISCRETE, & the time needed to finish the test - CONTINUOUS, 9 the amount of sugar in a cup of coffee - CONTINUOUS, Read here to know more examples of discrete and continuous variables: brainly.ph/question/14645308. What number of customers waiting in line does Shylock most often see the moment he enters? The number $X$ of customers in the bank who are either at a teller window or are waiting in a single line for the next available teller has the following probability distribution. patients if she wants to, A:no. The coin is tossed ten times. Answer in as fast as 15 minutes. Show that two such proofreaders working independently have a $99.96\%$ chance of detecting an error in a piece of written work. 1.9 How do you determine whether data is discrete or continuous? 2. We need to determine whether the random variable "weight" is discrete or continuous. Ask your question. Shylock enters a local branch bank at $4:30\; p.m$. Mean=14.7, Standard deviations=0.9, Q:Assume the resting heart rates for a sample of individuals are normally distributed with a mean of, A:LetX be the heart rates for a sample of individuals. Suppose the number $00$ is considered not to be even, but the number $0$ is still even. A continuous variable is one whose value can be obtained by measuring it. Do not write any units. m(HNO3) = 12,6 Sample size (n) = In a $\$1$ bet on even, the bettor pays $\$1$ to play. It would take you literally forever: 50, 50.1, 50.11, 50.111, 50.1111, So, it is a continuous variable. Independent variable (x) = no. Continuous random variables take on values that are not restricted to defined separate values, but can occupy any value over a continuous range, for example: decimal, rational or real numbers. A. Find the expected number of skeins that contain knots. The difference between them can be best understood using examples. 54 begins., A:Given data: Write only a number as your answer. Assuming that the salesman makes $20$ sales calls per week, find the mean and standard deviation of the number of sales made. Null hypothesis: H0:, Q:7. An insurance company will sell a $\$90,000$ one-year term life insurance policy to an individual in a particular risk group for a premium of $\$478$. The probability that an egg in a retail package is cracked or broken is $0.025$. Q:Airlines sometimes overbook flights. Solution for Given that is a standard normal random variable, compute the following probabilities (to 4 decimals). Find the expected value to the company of a single policy if a person in this risk group has a $99.62\%$ chance of surviving one year. = 0.05, Q:Problem 2. This site is using cookies under cookie policy . Let our experts help you. of patients = 10 3) Time taken to prepare a drink. 92 Number of houses, Q:se the sample data to construct a scatterplot. Show that the expected number of diseased individuals in the group of $600$ is $12$ individuals. The weight of the professional wrestlers 6. If not, explain why not. The number of arrivals at an emergency room between midnight and 6: 00 a. m. The weight of a box of cereal labeled " 18 ounces." The duration of the next outgoing telephone call from a business office. $X$ is the number of defective parts in a sample of ten randomly selected parts coming from a manufacturing process in which $0.02\%$ of all parts are defective. Continuous If it costs Tybalt $44$ cents to mail his entry, what is the expected value of the sweepstakes to him? 1, Q:(#4) All students who enroll in a certain memory course are given a pretest before the cour A coin is bent so that the probability that it lands heads up is $2/3$. Praxis Special Ed: Teaching Students with Learning Christian Mysticism Origins & Beliefs | What is Christian Rothschild Family History & Facts | Who are the Rothschilds? The number of voters favoring a candidate 3. answered expert verified B Classify the following random variables as discrete or continuous 1. the number of defective computers produced by a manufacturer 2. the weight of newborns each year in a hospital 3 the number of siblings in a family of a region 4 the amount of paint utilized in a building project 65 m(Cu(NO3)2) = ? This site is using cookies under cookie policy . Level of significance () = 0.1 An insurance company estimates that the probability that an individual in a particular risk group will survive one year is $0.9825$. Determine the . M: the amount of milk produced yearly by a particular cow. Use the formula for weighted data. Classify the following random variables as discrete or continuous. Find the average number monetary gifts a college can expect from every $2,000$ solicitations it sends. The random variable is then continuous. 0.34 The number of games in the next World Series (best of up to seven games). Contact us by phone at (877)266-4919, or by mail at 100ViewStreet#202, MountainView, CA94041. m(CuO) = 10 Find the confidence interval of, A:Given Continuous Variable: A random variable whose amount can take on any value in a specified range. Find answers to questions asked by students like you. qualitative data. The number of vehicles owned by a randomly selected household. 3) Classify the following random variable according to whether it is discrete or continuous. 2.17 The amount of sugar in a cup of coffee 6. Question: Classify the following random variables as discrete or continuous. 5 First week only $4.99! M: the amount of milk produced yearly by a particular cow.N: the number of eggs laid each month by a hen. Lunch choice Use the tables in, $X$ is a binomial random variable with the parameters shown. Mx(t)=(0.21+0.79et)18. A:2. CI=99% They take positive real values, that means that in the interval used for the variable there are infinite possible values. Y : the length of time to play 18 holes of golf. b) Find the equation of the, A:Dependent variable (y) = Final grade of the student Can you think of a counter-example that may contradict your assumptions?. Construct the probability distribution of $X$. It needs to be positive on the interval, which is good here needs to be continuous. The tourist sees four local people standing at a bus stop. Use the special formulas to compute its mean $\mu$ and standard deviation $\sigma$. 2.39 The estimated, A:Given data: Louki Akrita, 23, Bellapais Court, Flat/Office 46, 1100, Nicosia, Cyprus. x , How many lines can you form? The variable in the problem is the time length for any movie. The amount that households pay service providers for access to the, A:For the distribution of internet service fees (which is stated to be not normal), it is given that:, Q:Automobile manufacturers are interested in the difference in reaction times for drivers reacting to, A:Given data is Discrete Variable: A random variable whose amount is finite and countable. The number of phone calls received at a police station on a day b. In a certain board game a player's turn begins with three rolls of a pair of dice. A box that contains two or more grapefruit of inferior quality will cause a strong adverse customer reaction. Construct the probability distribution for the number $X$ of defective units in such a sample. b. of different ways to, Q:In a study of the stability of IQ scores, a large group of individuals is tested once at age 18 and, Q:As determined from long experience, the number of automobiles rented per hour, X, at the Rent-A Car, A:Automobiles Rented Probability The number of heads in two tosses of a coin. What is the relationship between y and Round to two decimal places (for example: 42.81). Construct the probability distribution for $X$. 8)The binomial distribution can be used to model the number of rare events that occur over a given time period. A) continuous B) discrete Click the card to flip Definition 1 / 10 B Click the card to flip Flashcards Learn Test Match Created by josymvelasquez Terms in this set (10) Thirty-six slots are numbered from $1$ to $36$; half of them are red and half are black. Verify that $X$ satisfies the conditions for a binomial random variable, and find $n$ and $p$. High School GPA Examples: the outcome of rolling a dice, height of students, marks scored in an exam etc. Pretest In other words when the values of variable can be counted then it is a discrete variable and when the values of variable can be measured then it is a continuous variable . Classify the following as discrete or continuous random variables. A class of $130$ students meets in a classroom with $130$ individual desks, exactly $14$ of which are constructed for people who write with their left hands. Q:The current U.S. population is about 330 million people. Instead of testing all $600$ blood samples to find the expected $12$ diseased individuals, investigators group the samples into $60$ groups of $10$ each, mix a little of the blood from each of the $10$ samples in each group, and test each of the $60$ mixtures. of absences $X$ is a binomial random variable with parameters $n=5$, $p=0.5$. Suppose that for a plane with 50 seats, 55 passengers have, Q:What is the probability of rolling a fair six-sided die and obtaining an odd number on the first, A:Introduction: Rolling dice is a common probability experiment, and calculating the probability of, Q:Of all airline flight requests received by a certain discount ticket broker, 80% are for domestic, A:Given that . Pizza at separates the lower 40 % of the bills from the rest. Find the most likely number of skeins that contain knots. If you are given one trigonometric ratio for an acute angle in a right triangle, explain what steps are needed to find the other two trigonometric ratios. The remaining two slots are numbered $0$ and $00$ and are green. B. Compute the mean revenue per night if the cover is not installed. The speed of the car 2. 1 Find the chance that he guesses correctly between four and seven times. Find the probability that Borachio will produce at most two blemished tires tomorrow. A traveling salesman makes a sale on $65\%$ of his calls on regular customers. So, it is a continuous variable. Recalculate according to your conditions! The amount of rainfall at an airport next month. (-1.36,, Q:You are conducting a multinomial Goodness of Fit hypothesis test for the claim that the 4 categories, Q:run, we sampled 25 bottles that had an average fill level 995 ml. This site is using cookies under cookie policy . Use the tables in, $X$ is a binomial random variable with parameters $n=5$, $p=0.\bar{3}$. Hamburger Explore: Get a piece of paper as a model of plane. Let X be a discrete random variable with the following PMF. Plainmath.net is owned and operated by RADIOPLUS EXPERTS LTD. Get answers within minutes and finish your homework faster. Enter the email address you signed up with and we'll email you a reset link. It is important to note that this variable was not specified to an hour, a minute, etc. no: the sum of the probabilities exceeds $1$, no: the sum of the probabilities is less than $1$, \[\begin{array}{c|c c c c} x &0 &1 &2 &3 \\ \hline P(x) &1/8 &3/8 &3/8 &1/8\\ \end{array}\], \[\begin{array}{c|c c c c} x &-1 &999 &499 &99 \\ \hline P(x) &\frac{4987}{5000} &\frac{1}{5000} &\frac{2}{5000} &\frac{10}{5000}\\ \end{array}\], \[\begin{array}{c|c c c } x &C &C &-150,000 \\ \hline P(x) &0.9825 & &0.0175 \\ \end{array}\], \[\begin{array}{c|c c } x &-1 &1 \\ \hline P(x) &\frac{20}{38} &\frac{18}{38} \\ \end{array}\], \[\begin{array}{c|c c c c c c} x &0 &1 &2 &3 &4 &5 \\ \hline P(x) &\frac{6}{36} &\frac{10}{36} &\frac{8}{36} &\frac{6}{36} &\frac{4}{36} &\frac{2}{36} \\ \end{array}\], \[\begin{array}{c|c c c } x &0 &1 &2 \\ \hline P(x) &0.902 &0.096 &0.002 \\ \end{array}\].
Rentcafe Payment Options, Parking At Cardiff City Stadium, Virginia Lease Renewal Laws, What Is One Often Overlooked Component Of Critical Thinking?, Articles C