×

# A system consists of two components. The probability that

## Problem 101E Chapter 2

Probability and Statistics for Engineers and the Scientists | 9th Edition

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

Probability and Statistics for Engineers and the Scientists | 9th Edition

4 5 0 412 Reviews
22
4
Problem 101E

A system consists of two components. The probability that the second component functions in a satisfactory manner during its design life is .9, the probability that at least one of the two components does so is .96, and the probability that both components do so is .75. Given that the first component functions in a satisfactory manner throughout its design life, what is the probability that the second one does also?

Step-by-Step Solution:

Answer : Step 1 : So far I have this setup: Let C1 be event 1st component is satisfactory. Let C2 be event 2nd component is satisfactory. P(C1 or C2) = 0.96 P(C1 and C2) = 0.75 P(C2) = 0.9 Are the two events it's asking about independent of each other. P(C1 or C2) = P(C1) + P(C2) - P(C1 and C2) So we have to find P(C1). P(C1) =...

Step 2 of 3

Step 3 of 3

#### Related chapters

Unlock Textbook Solution

A system consists of two components. The probability that

×
Get Full Access to Probability And Statistics For Engineers And The Scientists - 9 Edition - Chapter 2 - Problem 101e

Get Full Access to Probability And Statistics For Engineers And The Scientists - 9 Edition - Chapter 2 - Problem 101e