SOLUTION: * Items are inspected for flaws by two quality inspectors. If a flaw is present, it will be detected by the first inspector with probability 0.90, and by the second inspector with

Algebra ->  Probability-and-statistics -> SOLUTION: * Items are inspected for flaws by two quality inspectors. If a flaw is present, it will be detected by the first inspector with probability 0.90, and by the second inspector with      Log On


   



Question 363905: * Items are inspected for flaws by two quality inspectors. If a flaw is present, it will be detected by the first
inspector with probability 0.90, and by the second inspector with probability 0.70. Assume the innspectors function independently.
a. If an item has a flaw, what is the probability that it will be found by both inspectors?
b. Assume that the second inspector examines only those items that have been passed by the first inspector. If an item has a flaw, what is the probability that the second inspector will find it?

Answer by SadieKhan(31) About Me  (Show Source):
You can put this solution on YOUR website!
1)
P( first found flaw and second found flaw) = P(first)*P(second)= 0.9*0.7 = 0.63
2)
p(first didnt find flaw and second found flaw) = (1-0.9)*(o.7) = 0.1*0.7 = 0.07
HTH

SadieKhan