number 42 please customers. b. Find th e probability that no special customers a

Question

number 42 please

customers. b. Find th e probability that no special customers arrive tomorrow Find tebblity exacly four special customers will arrive tomorrow. 41. In order to earn enough to pay your firm's de cts. This not usually a problem, since the yearly average is 5.1 a. Find the probability that you will not earn enough to b. Find the probability that you will be awarded exactly 42. Customers arrive at random times, with an exponential you will need to be awarded at least two contra is contracts. You may assume a Poisson distribution. pay your firm's debt this year. three contracts. distribution for the time between arrivals. Currently the mean time between customers is 6.34 minutes. Since the last customer arrived, 3 minutes have gone a. by. Find the mean time until the next customer arrives. b. Since the last customer arrived, 10 minutes have gone by. Find the mean time until the next customer 43. In the situation described in the previous problem, a cus- a. Find the probability that the time until the arrival of arrives. tomer has just arrived. the next customer is less than 3 minutes. b. Find the probability that the time until the arrival of er is more than 10 minutes. c. Find the probability that the time until the ctomer is between 5 and 6fnut

Explanation / Answer

ANSWER:-

Given the mean time between customers is 6.34 minutes. The interarrival time between arrivals could be modelled as

X ~ exp(1/6.34) The mean is recipocal of its perimeter.

(a)

we are given that 3 minutes have gone by, this wont have an affect on the future interarrival time.

Therefore the mean time until the next arrival would be the same that is 6.34 minutes.

So the expected time is 6.34 minutes

(b)

we are given that 10 minutes have gone by, this wont have an affect on the future interarrival time.

Therefore the mean time until the next arrival would be the same that is 6.34 minutes.

So, here also the expected time is 6.34 minutes

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