38. An engineering system consisting of n components is said to be a k-out-ofn system (k ≤ n) if the system functions if and only if at least k of the n

components function. Suppose that all components function independently of each other.

(a) If the ith component functions with probability Pi , i = 1, 2, 3, 4, compute the probability that a 2-out-of-4 system functions.

(b) Repeat

(a) for a 3-out-of-5 system.

Transcribed Image Text:

A 2 A 4 (b) 5 B S (a) 60 5 3 B A- B