An exam consists of 15 true-or-false questions. If a student guesses at every answer, what is the probability that he or she will answer exactly 9 questions correctly? (Round your answer to three decimal places.)

An exam consists of 15 true-or-false questions. If a student guesses at every answer, what is the probability that he or she will answer exactly 9 questions correctly? (Round your answer to three decimal places.)

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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Here the given information is

An exam consists of 15 true-or-false questions. If a student guesses at every answer

Then we have to find the probability that he or she will answer exactly 9 questions correctly

i.e,

n= 15

P= 0.50 (probability of guessing correctly)

We know in binomial distribution

P(Y=y) = nCy (P)^y (1-P)^n-y

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