A particular telephone number is used to receive both voice calls and ax message

Question

A particular telephone number is used to receive both voice calls and ax messages suppose that 20% of the incom n sample of 20 incoming calls. (Round your answers to three decimal places.) cal involve a messages, and considera (a) What is the probability that at most 4 of the calls involve a fax message? (b) What is the probability that exactly 4 of the calls involve a fax message? 0.218 (c) What is the probability that at least 4 of the calls involve a fax message? (d) What is the probability that more than 4 of the calls involve a fax message?

Explanation / Answer

a) P(At most 4 calls)

= binom.dist(4, 20, 0.20, TRUE) [Excel Formula]

= 0.630

c) P(At least 4 calls)

= 1 - P(Less than 4 calls)

= 1 - P(At most 3 calls)

= 1 - binom.dist(3, 20, 0.20, TRUE) [Excel Formula]

= 0.589

d) P(More than 4 calls)

= P(At least 4 calls) - P(4 calls)

= 0.589 - 0.218

= 0.370

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