Question

Willow Brook National Bank operates a drive-up teller window that allows customers to complete bank transactions without getting out of their cars. On weekday mornings, arrivals to the drive-up teller window occur at random, with an arrival rate of 24 customers per hour or 0.4 customers per minute. Also assume that the service times for the drive-up teller follow an exponential probability distribution with a service rate of 36 customers per hour, or 0.6 customers per minute. Determine the probabilities of 0, 1, 2, and 3 customers in the system. Round your answers to 4 decimal places. What is the probability that more than three customers will be in the drive-up teller system at the same time? Round your answer to 4 decimal places.

n | p(n) |

0 | |

1 | |

2 | |

3 |

What is the probability that more than three customers will be in the drive-up teller system at the same time? Round your answer to 4 decimal places.

*P* (*n* > 3)=

Answer #1

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Problem 11-04 (Algorithmic)
Willow Brook National Bank operates a drive-up teller window
that allows customers to complete bank transactions without getting
out of their cars. On weekday mornings, arrivals to the drive-up
teller window occur at random, with an arrival rate of 24 customers
per hour or 0.4 customers per minute. Also assume that the service
times for the drive-up teller follow an exponential probability
distribution with a service rate of 36 customers per hour, or 0.6
customers per minute....

Exponential/Poisson
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