Suppose you take a test on a subject you have never studied and therefore you just guess A, B, C, D on 6 multiple chance questions |each question has 4 possible answers, and you can not determine whether one answer is more likely to correct than a one out four probability). Therefore your score on the 6 questions is distributed as a binomial random variable with a probability of success (guessing correctly) on each individual question is 0.25. In other words, X ~ Bin(6; :25). Compute: a. the mean (expected value) and variance of X (your correct answers) b. P(X >= 3) (i.e. getting at least 1/2 of the six questions correct)

Suppose you take a test on a subject you have never studied and therefore you just guess A, B, C, D on 6 multiple chance questions |each question has 4 possible answers, and you can not determine whether one answer is more likely to correct than a one out four probability). Therefore your score on the 6 questions is distributed as a binomial random variable with a probability of success (guessing correctly) on each individual question is 0.25. In other words, X ~ Bin(6; :25). Compute: a. the mean (expected value) and variance of X (your correct answers) b. P(X >= 3) (i.e. getting at least 1/2 of the six questions correct)

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

Suppose you take a test on a subject you have never studied and therefore you just guess A, B, C, D on 6

multiple chance questions |each question has 4 possible answers, and you can not determine whether one

answer is more likely to correct than a one out four probability). Therefore your score on the 6 questions

is distributed as a binomial random variable with a probability of success (guessing correctly) on each

individual question is 0.25. In other words, X ~ Bin(6; :25). Compute:

a. the mean (expected value) and variance of X (your correct answers)

b. P(X >= 3) (i.e. getting at least 1/2 of the six questions correct)

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