Question

A system consists of two identical pumps, #1 and #2. If one pump fails, the system will still operate. However, because of the added strain, the remaining pump is now more likely to fail than was originally the case. That is, r 5 P(#2 fails | #1 fails). P(#2 fails) = q. If at least one pump fails by the end of the pump design life in 7% of all systems and both pumps fail during that period in only 1%, what is the probability that pump #1 will fail during the pump design life?

Name: a system consists of two identical pumps 1 and 2 if one pump fails the system will still operate however because of the added strain the remaining pump is now more likely to fail than was or 62235
Uploaded: 2022-09-25T08:29:10-08:00
Duration: 1 min 51 s
Channel: Sri K
Description: a system consists of two identical pumps 1 and 2 if one pump fails the system will still operate however because of the added strain the remaining pump is now more likely to fail than was or 62235

          A system consists of two identical pumps, #1 and #2. If one pump fails, the system will still operate. However, because of the added strain, the remaining pump is now more likely to fail than was originally the case. That is, r 5 P(#2 fails | #1 fails). P(#2 fails) = q. If at least one pump fails by the end of the pump design life in 7% of all systems and both pumps fail during that period in only 1%, what is the probability that pump #1 will fail during the pump design life?

Added by Jennifer F.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Sri K

09/25/2022

Step 1

We are given: P(A ∪ B) = 0.14 P(A ∩ B) = 0.10 We need to find P(A). ** Show more…

Show all steps

Thanks for your feedback!

A system consists of two identical pumps, #1 and #2. If one pump fails, the system will still operate. However, because of the added strain, the remaining pump is now more likely to fail than was originally the case. That is, r 5 P(#2 fails | #1 fails). P(#2 fails) = q. If at least one pump fails by the end of the pump design life in 7% of all systems and both pumps fail during that period in only 1%, what is the probability that pump #1 will fail during the pump design life?