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A student's chances of being accepted to Harvard are about 5%. What is the probability that only three students from the same school will be accepted if twenty apply? Calculate the expected number of accepted students if there were ten applicants from the same school. Also, find the standard deviation of the number of accepted applicants.

A student's chances of being accepted to Harvard are about 5%. What is the probability that only three students from the same school will be accepted if twenty apply? Calculate the expected number of accepted students if there were ten applicants from the same school. Also, find the standard deviation of the number of accepted applicants.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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3. A student's chances of being accepted to Harvard are about 5%. What is the probability that only three students from the same school will be accepted if twenty apply? Calculate the expected number of accepted students if there were ten applicants from the same school. Also, find the standard deviation of the number of accepted applicants. 4. It's estimated that only about 5% of the population has hazel eyes. What is the probability that only 10 people from a gathering of 100 people have hazel eyes? Calculate the mean and the variance of the number of hazel-eyed people from a gathering of 150 people.
Transcribed Image Text:3. A student's chances of being accepted to Harvard are about 5%. What is the probability that only three students from the same school will be accepted if twenty apply? Calculate the expected number of accepted students if there were ten applicants from the same school. Also, find the standard deviation of the number of accepted applicants. 4. It's estimated that only about 5% of the population has hazel eyes. What is the probability that only 10 people from a gathering of 100 people have hazel eyes? Calculate the mean and the variance of the number of hazel-eyed people from a gathering of 150 people.
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