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One of four different prizes was randomly put into each

Probability and Statistical Inference | 9th Edition | ISBN: 9780321923271 | Authors: Robert V. Hogg, Elliot Tanis, Dale Zimmerman ISBN: 9780321923271 41

Solution for problem 9E Chapter 2.5

Probability and Statistical Inference | 9th Edition

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Probability and Statistical Inference | 9th Edition | ISBN: 9780321923271 | Authors: Robert V. Hogg, Elliot Tanis, Dale Zimmerman

Probability and Statistical Inference | 9th Edition

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Problem 9E

One of four different prizes was randomly put into each box of a cereal. If a family decided to buy this cereal until it obtained at least one of each of the four different prizes, what is the expected number of boxes of cereal that must be purchased?

Step-by-Step Solution:

Answer :

Step 1 of 1:

From the given information one of four different prizes was randomly put into each box of a cereal.

If a family decided to buy this cereal until it obtained at least one of each of the four different prizes.

Now we have to find the expected number of boxes of cereal that must be purchased.

One prize in each box,then there is a prize in the first box.

Then the expected value of is

: number of trials that needed to get the prize 2.

Here p = 3/4

Then the expected value of is

: number of trials that needed to get the prize 3.

Here p = 2/4

Then the expected value of is

 and

: number of trials that needed to get the prize 4.

Here p = 1/4

Then the expected value of is

Then we are adding all expected value to find the number of boxes of cereal.

So

Substitute all the values.

Therefore the expected number of boxes of cereal that must be purchased is   .

Step 2 of 1

Chapter 2.5, Problem 9E is Solved
Textbook: Probability and Statistical Inference
Edition: 9
Author: Robert V. Hogg, Elliot Tanis, Dale Zimmerman
ISBN: 9780321923271

This textbook survival guide was created for the textbook: Probability and Statistical Inference , edition: 9. Probability and Statistical Inference was written by and is associated to the ISBN: 9780321923271. Since the solution to 9E from 2.5 chapter was answered, more than 408 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 9E from chapter: 2.5 was answered by , our top Statistics solution expert on 07/05/17, 04:50AM. This full solution covers the following key subjects: cereal, prizes, least, box, decided. This expansive textbook survival guide covers 59 chapters, and 1476 solutions. The answer to “One of four different prizes was randomly put into each box of a cereal. If a family decided to buy this cereal until it obtained at least one of each of the four different prizes, what is the expected number of boxes of cereal that must be purchased?” is broken down into a number of easy to follow steps, and 48 words.

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One of four different prizes was randomly put into each