Find the indicated probabilities using the geometric distribution, the convenien

Question

Find the indicated probabilities using the geometric distribution, the convenient, use the appropriate probability table or technology to find the probabilities tribution, or the binomial distribution. Then determine if the events are unusual. If Assume the probability that you will make a sale on any given telephone call is 0.22. Find the probability that you (a) make you your sale on the first, second, or third call, and (c) do not make a sale on the first three calls r first sale on the fifth call, (b) make (a) P(make your first sale on the fifth call)- Round to three decimal places as needed.)

Explanation / Answer

Pr(sale on any given call) = 0.22

(a) Pr(Make your first sale calll on fifth call)

That is geometric distribution. Where the first success come on fifth call

so Pr(First sale call on fifth call = Pr(No success on first four call) * Pr(first success on fifth call) = (1- 0.22)4 (0.22) = 0.0814

(b) Make your sale on first, second or third call = Pr(sale on first call) + Pr(sale on second call) + Pr(sale on third call) = 0.22 + 0.78 * 0.22 + 0.782 * 0.22 = 0.52545

(c) Probability of no sale on first three calls

Pr(No calls on first three calls) = 0.78 * 0.78 * 0.78 = 0.47455

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