Question

A saleswoman has 30 presentations scheduled for the coming month. Historically, 65% of her presentations have...

A saleswoman has 30 presentations scheduled for the coming month. Historically, 65% of her presentations have resulted in sales. It is reasonable to assume that her chance of making a sale in any given presentation is not affected by what happens in any other presentation. Find the following probabilities. (Enter your answers to four decimal places.)

(a) What is the probability she makes at least 22 sales during the coming month?


(b) What is the probability she makes less than 13 sales during the coming month?


(c) What is the probability she makes more than 14 sales during the coming month?

Math   Statistics-And-Probability   
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Answer #1

Let X is a random variable shows the number of sales during the coming month. Here X has binomial distribution with parameter n=30 and p=0.65. The pdf of X is

(a)

The probability she makes at least 22 sales during the coming month is

(b)

The probability she makes less than 13 sales during the coming month is

(c)

The probability she makes more than 14 sales during the coming month is

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