A telemarketer makes sx phone calls per hour and is able to make a sale on 30 pe

Question

A telemarketer makes sx phone calls per hour and is able to make a sale on 30 percent of these contacts During the next two hours, find the following to 4 ol The probability of making exactly four sales. (Round your answer to 4 decimal The probablity of making exactly four sales. places) (b)The probability of making no sales. (Round your answer to 4 decimal places.) Probability (ci The probability of making exactly two sales. (Round your answer to 4 decimal places.) Probability The mean number of sales in the two-hour period. (Round your answer to 1 decimal place.) Mean sales.

Explanation / Answer

Please note nCx = n! / [(n-x)!*x!]

Binomial Probability = nCx * (p)x * (q)n-x, where n = number of trials and x is the number of successes.

Here she can make 6 calls in 1 hour, therefore in 2 hours, she makes 12 calls. Therefore x = 12. p = 0.3 and q = 1 -p = 0.7

(a) x = 4, n -x = 12 - 4 = 8:: P(4) = 12C4 * (0.3)4 * (0.7)8 = 0.2311

(b) x = 0, n -x = 12 - 0 = 12:: P(0) = 12C0 * (0.3)0 * (0.7)12 = 0.0138

(c) x = 2, n -x = 12 - 2 = 10:: P(2) = 12C2 * (0.3)2 * (0.7)10 = 0.1678

(d) Mean = n*p = 12 * 0.3 = 3.6

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