4. Customers enter a store at a rate of 3 customers per hour. a) Compute the probability...

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4. Customers enter a store at a rate of 3 customers perhour.
a) Compute the probability that at least two, but no more thanfive customers enter the store in a given hour.
b) Compute the probability that it takes more than 30 minutesfor the first customer to enter the store this hour.
c) Suppose you know that exactly 1 customer entered the storeduring a given hour. Compute the probability that the customerentered the store between minute 10 and minute 30.
d) Let Xk be the number of customers that enter a store duringhour k. Suppose you recorded how many customers entered the storeeach hour for the last 60 hours. What is the approximatedistribution of XÂ¯? Make sure to specify the parameter(s) of thedistribution.

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aRate 3 customers per hourX Poisson3Probability that at least two but no more than five customersenter the store in a given hour P2 X 5 PX 2 PX 3 PX 4 PX 5 02240418 02240418 01680314 01008188 07169338bFor 30 minutes rate 3 05 15Y Poisson15Probability that it takes more than 30 minutes for the See Answer

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