Suppose 100 people all toss a hat into a box and then proceed to randomly pick out a hat. What is the expected number of people to get their own hat back. Hint: express the number of people who get their own hat as a sum of random variables whose expected value is easy to compute.
Suppose 100 people all toss a hat into a box and then proceed to randomly pick out a hat. What is the expected number of people to get their own hat back. Hint: express the number of people who get their own hat as a sum of random variables whose expected value is easy to compute.
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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![Suppose 100 people all toss a hat into a box and then proceed to
randomly pick out a hat. What is the expected number of people
to get their own hat back.
Hint: express the number of people who get their own hat as a
sum of random variables whose expected value is easy to
compute.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F11f9b240-6612-4c38-b1d4-60478dcbeb31%2F06a67b5f-52b3-4737-bb1f-1ad0ad26dd51%2Fnx6yfu_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Suppose 100 people all toss a hat into a box and then proceed to
randomly pick out a hat. What is the expected number of people
to get their own hat back.
Hint: express the number of people who get their own hat as a
sum of random variables whose expected value is easy to
compute.
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