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7 Let X be the number of questions a student gets correct on a 12 question multiple choice test. Each question has 4 possible options, only 1 of which is correct. The student randomly guesses on each question. What distribution does X follow? Note: I had meant for F to be the right answer, but I see that I have a typo in it. My apologies. For the instructor, this was question 15. / Exponential with B = 3 / Exponential with B = 0.25 / Poisson with k = 3 / Poisson with k = 0.25 / Binomial with n = 10 and p = 3 Binomial with n = 10 and p = 0.25 / Negative binomial with n=10 and r = 3 / Negative binomial with n=10 and r = 0.25 %3D %3D

7 Let X be the number of questions a student gets correct on a 12 question multiple choice test. Each question has 4 possible options, only 1 of which is correct. The student randomly guesses on each question. What distribution does X follow? Note: I had meant for F to be the right answer, but I see that I have a typo in it. My apologies. For the instructor, this was question 15. / Exponential with B = 3 / Exponential with B = 0.25 / Poisson with k = 3 / Poisson with k = 0.25 / Binomial with n = 10 and p = 3 Binomial with n = 10 and p = 0.25 / Negative binomial with n=10 and r = 3 / Negative binomial with n=10 and r = 0.25 %3D %3D

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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**Question 7: Probability Distribution** Let \( X \) be the number of questions a student gets correct on a 12-question multiple choice test. Each question has 4 possible options, only 1 of which is correct. The student randomly guesses on each question. What distribution does \( X \) follow? *Note:* I had meant for F to be the right answer, but I see that I have a typo in it. My apologies. *For the instructor, this was question 15.* - Exponential with \( \beta = 3 \) - Exponential with \( \beta = 0.25 \) - Poisson with \( k = 3 \) - Poisson with \( k = 0.25 \) - Binomial with \( n = 10 \) and \( p = 3 \) - Binomial with \( n = 10 \) and \( p = 0.25 \) ✔️ - Negative binomial with \( n = 10 \) and \( r = 3 \) - Negative binomial with \( n = 10 \) and \( r = 0.25 \) ✔️ The correct answer is "Binomial with \( n = 10 \) and \( p = 0.25 \)." However, there is a note indicating a typographical error, suggesting the intended correct answer was different.
Transcribed Image Text:**Question 7: Probability Distribution** Let \( X \) be the number of questions a student gets correct on a 12-question multiple choice test. Each question has 4 possible options, only 1 of which is correct. The student randomly guesses on each question. What distribution does \( X \) follow? *Note:* I had meant for F to be the right answer, but I see that I have a typo in it. My apologies. *For the instructor, this was question 15.* - Exponential with \( \beta = 3 \) - Exponential with \( \beta = 0.25 \) - Poisson with \( k = 3 \) - Poisson with \( k = 0.25 \) - Binomial with \( n = 10 \) and \( p = 3 \) - Binomial with \( n = 10 \) and \( p = 0.25 \) ✔️ - Negative binomial with \( n = 10 \) and \( r = 3 \) - Negative binomial with \( n = 10 \) and \( r = 0.25 \) ✔️ The correct answer is "Binomial with \( n = 10 \) and \( p = 0.25 \)." However, there is a note indicating a typographical error, suggesting the intended correct answer was different.
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