1 -Current estimates suggest that only 20% of home-based computers have access to on-line services. Suppose 25 people wi

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1 -Current estimates suggest that only 20% of home-basedcomputers have access to on-line services. Suppose 25 people withhome-based computers were randomly and independently sampled.Suppose X is the number of people with home-based computers thathave on-line services in the above sample of 25 people. Find theprobability that exactly five have access to on-line services.
2- Events A and B are independent with p(A) = 0.3 and p(B) =0.1. Find p(A U B).
3 -Let A and B be two events defined on a sample space S of anexperiment such that p(A U B) =0.89, and p(B) = 0.13. What is theprobability of A if events A and B are disjoint events?
4 - Let A and B be two subsets of the sample space S of anexperiment. If P(A) = 0.37, P(B) = 0.36, and P(A (upsidedown U) B)= 0.18, find P(A U (Bc)).