Question

Customers arrive at a store according to Poisson process with an intensity of ? = 6 per hour. Each customer buys something from the store independently of other customers with probability p = 0.4. (a) What is the probability that between 4 and 6 customers enter the shop in 45 minutes? (b) What is the expected number of sales in 2 hours? (c) Given a single server with an exponentially distributed service time, how fast must the service rate be so that the store has fewer than 3 customers in the service queue 95% of the time.

          Customers arrive at a store according to Poisson process with an intensity of ? = 6 per hour. Each customer buys something from the store independently of other customers with probability p = 0.4.

(a) What is the probability that between 4 and 6 customers enter the shop in 45 minutes?
(b) What is the expected number of sales in 2 hours?
(c) Given a single server with an exponentially distributed service time, how fast must the service rate be so that the store has fewer than 3 customers in the service queue 95% of the time.

Customers arrive at a store according to Poisson process with an intensity of ? = 6 per hour. Each customer buys something from the store independently of other customers with probability p = 0.4.

(a) What is the probability that between 4 and 6 customers enter the shop in 45 minutes?
(b) What is the expected number of sales in 2 hours?
(c) Given a single server with an exponentially distributed service time, how fast must the service rate be so that the store has fewer than 3 customers in the service queue 95% of the time.

Added by Thomas W.

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