19. Suppose that customer arrivals at a shop are modeled by Poisson process with rate of ? = 5 per hour. Let T be the time of the first arrival. The probability that the first customer arrives during the first 15 minutes soon after the shop opens for business is closest to: (a) 0.63 (b) 0.29 (c) 0.05 (d) 0.71 (e) 0.37 20. In a certain neighborhood, the height of women is normally distributed with mean 63 and standard deviation 3, while the height of men is normally distributed with mean 67 and standard deviation 4. You choose a women and a man at random from the neighborhood. The probability that the their heights are within 2 inches of each other is closest to: (a) 0.13 (b) 0.23 (c) 0.54 (d) 0.77 (e) .87
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Customers arrive at a certain retail establishment according to a Poisson process with rate $\lambda$ per hour. Suppose that two customers arrive during the first hour. Find the probability that (a) both arrived in the first 20 minutes; (b) at least one arrived in the first 30 minutes.
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Self-Test Problems And Exercises
Madhur L.
Suppose a store expects to have 2 customers in any 15 minute interval, and that customers arrive according to a Poisson distribution. a) What is the probability that the store will have no customers from 10:00 to 10:15? b) What is the probability that the store will have more than 2 customers from 10:00 to 10:15? c) What is the probability that the store will have no customers from 9:30 to 10:00? d) What is the probability that the store will have 9 customers in any hour?
Adi S.
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