Customer arrivals at a checkout counter in a department store have a Poisson distribution with an average of seven per hour. For a given hour, find the probability that
a. exactly nine customers arrive
b. no more than three customers arrive
c. at least two customers arrive
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Customer arrivals at a checkout counter in a department store have a Poisson distribution with an...
Customers arrivals at a checkout counter in a department store per hour have a Poisson distribution with parameter λ = 7. Calculate the probabilities for the following events. (a) (2 points) Exactly seven customers arrive in a random 1-hour period. (b) (4 points) No more than two customers arrive in a random 1-hour period. (c) (4 points) At least three customers arrive in a random 1-hour period.
6. Customer arrivals at a check out counter have a Poison distribution with an average of 6 per hour a) Find the probability exactly 3 arrive in an hour b) No more than 3 customers arrive प श्ि c) 10 customers arrive in a 2 hour period
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Pete's Market is a small local grocery store with only one checkout counter. Assume that shoppers arrive at the checkout lane according to a Poisson probability distribution, with an arrival rate of 9 customers per hour. The checkout service times follow an exponential probability distribution, with a service rate of 15 customers per hour. The manager’s service goal is to limit the waiting time prior to beginning the checkout process to no more than five minutes. Also the manager of...
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Arrivals at a walk-in optometry department in a shopping centre have been found to be Poisson distributed with a mean of 2.71 potential customers arriving per hour. Assuming that the Poisson distribution is reasonable for this situation, where X is the number of arrivals during a given hour. Calculate the probability of at least 19 customers between 2pm and 6pm? Give the answer to the two decimal places.
Service time for a customer coming through a checkout counter in a retail store is a random variable with the mean of 2.0 minutes and standard deviation of 4.0 minutes. Suppose that the distribution of service time is fairly close to a normal distribution. Suppose there are two counters in a store, n = 31 customers in the first line and n2 = 42 customers in the second line. Find the probability that the difference between the mean service time...
Service time for a customer coming through a checkout counter in a retail store is a random variable with the mean of 4.0 minutes and standard deviation of 1.5 minutes. Suppose that the distribution of service time is fairly close to a normal distribution. Suppose there are two counters in a store, n1=41 customers in the first line and n2=51 customers in the second line. a.Compute the mean and the variance of X1 bar−?2 bar. b.Find the probability that the...