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Binomial and Poisson Probability Distributions

by | Dec 1, 2023 | Posted Questions

Binomial and Poisson Probability Distributions

Suppose you, as the manager of Tennessee Grilled Pork. would
like to ensure you have enough cleaning staff for your dining room and would
like to analyze data for customers who enter the restaurant to place and order
and either eat in the restaurant or take their order to- go. If the probability
that a customer will stay in the restaurant to eat is .60, use the Binomial
Probability function to determine the probability that 3 out of 4 customers
entering the restaurant to place an order will eat their food in the room:

Using the Binomial Probability table, calculate the
probability that at least 12 out of 18 customers entering the restaurant to
order will eat their food in the dining room:

If the mean arrival rate for customers during the lunch rush
is 6 every 10 minutes, use the Poisson distribution function to determine the
probability that exactly 7 customers arrive in a 10 minute period.

Using the Poisson table provided. calculate the probability
that no more than 7 customers will arrive in a one-half hour period during the
lunch rush.

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