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1. The manager of an express oil change service has determined that the number of customer who arrive in a one hour time interval (x) can be modeled using a Poisson model with mean =2.5 customer per. What is the standard deviation of the number of customers that arrive within a 2 hour time interval.

2. The manager of an express oil change service has determined that the number of customer who arrive in a one hour time interval (x) can be modeled using a poisson model with mean =2.5 customer per.

If the number of customers who arrive over a 2 hour interval is 2 or fewer, the manager will close down one of the service bays & send the crew home. what is the probability that a 2 hour time interval will have 2 or fewer customer arriving for service

3. The manager of an express oil change service has determined that the number of customer who arrive in a one hour time interval (x) can be modeled using a poisson model with mean =2.5 customer per hour.

If currently the service is open until 9pm for the coming Friday night, the manager has decided that i or fewer customer arrive in each of the 3 one hour time interval 6-7:00, 7-8:00 & 8-9:00pm, he will change the closing time to 6pm what is the probaility that there will be i or fewer customers arriving each of the 3 one-hour time interval this friday night? ( recall the number ofarrival in any one-hour is independent of the number of arrival in any other one-hour interval).

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