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Statistics / Introduction to Probability 1 / Chapter 4 / Problem 33

Introduction to Probability | 1st Edition | ISBN: 9781466575578 | Authors: Joseph K. Blitzstein, Jessica Hwang

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A total of 20 bags of Haribo gummi bears are randomly distributed to 20 students. Each

Chapter 4, Problem 33

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QUESTION:

A total of 20 bags of Haribo gummi bears are randomly distributed to 20 students. Each bag is obtained by a random student, and the outcomes of who gets which bag are independent. Find the average number of bags of gummi bears that the first three students get in total, and find the average number of students who get at least one bag.

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QUESTION:

A total of 20 bags of Haribo gummi bears are randomly distributed to 20 students. Each bag is obtained by a random student, and the outcomes of who gets which bag are independent. Find the average number of bags of gummi bears that the first three students get in total, and find the average number of students who get at least one bag.

ANSWER:

Step 1 of 2

A total of 20 bags of Haribo gummi bears are randomly distributed to 20 students. Each bag is obtained by a random student, and the outcomes of who gets which bag are independent.

To find the average number of bags of gummi bears that the first three students get in total.

Let be the number of bags of gummi bears that the student receives, .

We have to find

Clearly, .

Therefore,

Thus,

Hence, the average number of bags of gummi bears that the first three students get in total is .

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