Answered: For a binomial random variable the…

For a binomial random variable the probability of success per trial is π = 0.35 28 What is the probability of 10 or fewer (at most 10) successes in 30 trials? a 0.5179 b 0.5078 c 0.4978 d 0.4880

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

For a binomial random variable the probability of success per trial is

π =

0.35

28	What is the probability of 10 or fewer (at most 10) successes in 30 trials?
a	0.5179
b	0.5078
c	0.4978
d	0.4880

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Expert Solution

Step 1

Given that

p=probability of success per trial=π=0.35

n=30 , p=0.35 , q=1-p=1-0.35=0.65

X~Binomial(n=30 , p=0.35)

Find P(X≤10)

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