An engineering system consisting of n components is said to be a $k$-out-of-$n$system $(k\dots n)$if the system functions if and only if at least $k$of the $n$components function. Suppose that all components function independently of one another.

(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 part (a) for a $3$-out-of-$5$
system

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