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Please can this question be answered with explanation, Thanks Cars arrive at a repair garage at an average rate of =3 per hour, Poisson distributed.

Please can this question be answered with explanation, Thanks

Cars arrive at a repair garage at an average rate of =3 per hour, Poisson distributed.

a.Draw a probability distribution for the number of arrivals in an hour (say from 0 to 10).Use Excel's Poisson.dist function.This should look like the diagram at the bottom of slide #10 in the Analytics of Waiting Lines Ppt file.

b.What is the probability that at least 2 cars will arrive in a one-hour time period?

c.Draw a probability density function for the inter-arrival time.Use Excel's Expon.dist function.This should look like the diagram at the top of slide #10.

d.A car has just arrived at the garage.What is the probability that the next car will not arrive in at least the next 30 minutes?

e.A car has just arrived at the garage.What is the probability that the next car will arrive in between 10 and 15 minutes?

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