×
Get Full Access to Applied Statistics And Probability For Engineers - 6 Edition - Chapter 2.8 - Problem 213se
Get Full Access to Applied Statistics And Probability For Engineers - 6 Edition - Chapter 2.8 - Problem 213se

×

# It is known that two defective copies of a commercial

ISBN: 9781118539712 55

## Solution for problem 213SE Chapter 2.8

Applied Statistics and Probability for Engineers | 6th Edition

• Textbook Solutions
• 2901 Step-by-step solutions solved by professors and subject experts
• Get 24/7 help from StudySoup virtual teaching assistants

Applied Statistics and Probability for Engineers | 6th Edition

4 5 1 404 Reviews
20
3
Problem 213SE

Problem 213SE

It is known that two defective copies of a commercial software program were erroneously sent to a shipping lot that now has a total of 75 copies of the program. A sample of copies will be selected from the lot without replacement.

(a) If three copies of the software are inspected, determine the probability that exactly one of the defective copies will be found.

(b) If three copies of the software are inspected, determine the probability that both defective copies will be found.

(c) If 73 copies are inspected, determine the probability that both copies will be found. (Hint: Work with the copies that remain in the lot.)

Step-by-Step Solution:

Step 1 of 3

(a)

It is known that two defective copies of a commercial software program were erroneously sent to a shipping lot that now has a total of  copies of the program.

A sample of copies will be selected from the lot without replacement.

we are asked to find the probability that exactly one of the defective copies will be found if three copies of the software are inspected.

Let  denote the defective copy of the software.

Let  denote the original copy of software or without defect

The number of ways we can inspect exactly one defects from the three copies of the software is using combination theorem since the sample of copies are selected from the lot without replacement.

We can write our sample space of exactly one defects,

……..(1)

The probability of defective copies from the shipping lot that has a total of  copies is,

The probability that exactly one of the defective copies is using equation (1)

Hence the probability that exactly one of the defective copies will be found is

Step 2 of 3

Step 3 of 3

#### Related chapters

Unlock Textbook Solution