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# Refer to Exercise 10. Let Y be the number of chips tested

ISBN: 9780073401331 38

## Solution for problem 11E Chapter 2.4

Statistics for Engineers and Scientists | 4th Edition

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Problem 11E

Refer to Exercise 10. Let Y be the number of chips tested up to and including the second acceptable chip.

a. What is the smallest possible value for Y?

b. What is the probability that Y takes on that value?

c. Let X represent the number of chips that are tested up to and including the first acceptable chip. Find P(Y = 3|X = 1).

d. Find P(Y = 3|X = 2).

e. Find P(Y = 3).

Step-by-Step Solution:

Step 1 of 6 :

Given, from a large population, micro processing chips are randomly sampled one by one.

These chips are tested to determine if they are acceptable for a certain application.

From the population 90% of the chips are acceptable.

Where, P(A) =  acceptable chips

= 90%

P(B) = unacceptable chips.

= 10%

Step 2 of 6 :

The claim is to find the smallest possible value of Y.

If both first two chip are acceptable, then Y = 2

Therefore,   Y = 2 is the smallest possible value.

Step 3 of 6 :

b)

The claim is to find the probability that Y takes on the value.

When the first two chips are acceptable

P(Y = 2) = P(acceptable ) P(acceptable )

= (0.9) (0.9)

= 0.81

the probability that Y takes on the value is 0.81

Step 4 of 6

Step 5 of 6

##### ISBN: 9780073401331

The answer to “Refer to Exercise 10. Let Y be the number of chips tested up to and including the second acceptable chip.a. What is the smallest possible value for Y?________________b. What is the probability that Y takes on that value?________________c. Let X represent the number of chips that are tested up to and including the first acceptable chip. Find P(Y = 3|X = 1).________________d. Find P(Y = 3|X = 2).________________e. Find P(Y = 3).” is broken down into a number of easy to follow steps, and 72 words. This textbook survival guide was created for the textbook: Statistics for Engineers and Scientists , edition: 4. Since the solution to 11E from 2.4 chapter was answered, more than 552 students have viewed the full step-by-step answer. Statistics for Engineers and Scientists was written by and is associated to the ISBN: 9780073401331. This full solution covers the following key subjects: Find, tested, chips, ChIp, acceptable. This expansive textbook survival guide covers 153 chapters, and 2440 solutions. The full step-by-step solution to problem: 11E from chapter: 2.4 was answered by , our top Statistics solution expert on 06/28/17, 11:15AM.

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