In: Statistics and Probability
An engineering system consisting of n components is said to be a
k-out-of-n
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.