A particular talepha ne number is used to recer e ho h volca calls and ax mnssag

Question

A particular talepha ne number is used to recer e ho h volca calls and ax mnssages. Supposa hat 205 of the Incom ng calls nvchn ax mass ges, ana consider sample of 20 incoming calls Round your ana wars tn thr e decima placas. (a) What is tha prabability that at most S af the calls involva a fax messaga? (b What lis the probahility that exactly 5 af the calls Invalve a fax messaga? (c) What is the probability that at least 5 of the calls involve a tax message? 7063x d What is the probability that more than 5 o the calls involve a fax message? 217x You ay need to ue the oppropriate tabl e in the Appendix of ables to answer this question Need Help?

Explanation / Answer

This is a binomial distribution with probability of success, p = 0.2, n = 20

Use a cumulative binomial distribution table

a) P(X <= 5) = 0.804

b) P(X = 5) = P(X<=5) - P(X<=4) = 0.804 - 0.630 = 0.174

c) P(X >= 5) = 1 - P(X <=4) = 1 - 0.630 = 0.370

d) P(X > 5) = 1 - P(X <= 5) = 1 - 0.804 = 0.196

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