× Door. x The Quaahed Applicant tatsOnlineExam2 pdf 213 7. Of those mountain cli

Question

× Door. x The Quaahed Applicant tatsOnlineExam2 pdf 213 7. Of those mountain climbers who attempt Mt. McKinley, only 65% reach the summit. In a random sample of 16 mountain climbers who are going to attempt Mt. McKinley, what is the probability of each of the following? (a) All 16 reach the summit. (b) At least 10 reach the summit. (c) No more than 12 reach the summit. (d) From 9 to 12 reach the summit, including 9 and 12. 8. Suppose that the average number of customers calling a technical support number in a 10-minute period is seven customers. The company wants a probability distribution for the number of people calling each 10 minutes. (a) What is the formula for the Poisson probability distribution? (b) What is the probability that exactly four customers call the support number during a 10-minute period?

Explanation / Answer

solution :

7. Given that n = 16, p = 0.65

a) P(x = 16) = 0.0010

b) P(x >= 10) = 0.6881

c) P(x <= 12) = 0.8661

d) P(9 < x <12) = P(9) + P(10) + P(11) + P(12)
= 0.1524 + 0.1982 + 0.2008 + 0.1553
= 0.7067

Formula : nCr * p^r * q^n-r

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