Question: Let there be 3 computers in each cluster of computers. There are four clusters. Let p the probability a given computer is up (working) and

 Let there be 3 computers in each cluster of computers. There

Let there be 3 computers in each cluster of computers. There are four clusters. Let p the probability a given computer is up (working) and let 1-p be the probability a given computer is down (not working). 0 (a) A dluster is "functioning if at least one computer in it is working. Find an expression for the probability that at least one computer is up in each cluster. Show where it comes from. (b) Find an expression for the expected number of clusters that are functioning

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