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