A system consists of 10 components all arranged in series, each with a failure probability of XXXXXXXXXXWhat is the probability that the system will fail? Let Y be a normally distributed random...

A system consists of 10 components all arranged in series, each with a failure probability of 0.001. What is the probability that the system will fail?

Let Y be a normally distributed random variable with mean 10 and variance 25.

Find:

(a) P(Y
 15)

(b) P(8
 Y
 12)

(c) the value of C such that P(Y
 C) = 0:90