Cars arrive at a car wash randomly and independently; the probability of arrivalis the same for...

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Cars arrive at a car wash randomly and independently; the probability of arrivalis the same for...

Cars arrive at a car wash randomly and independently; the probability of arrivalis the same for any two time intervals of equal length. The mean arrival rate is 15 cars per hour.

(EXCEL)

(a) What is the probability that 20 or more cars will arrive during any given hour of operation?

(b) What is the mean time between arrivals? Why?

math Statistics-And-Probability

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Answer 1

Answer #1

formulas are written in bold

a)

probability that 20 or more cars will arrive during any given hour of operation =1-poisson(19,15,true)=0.124781

b) mean time between arrivals =time/number of arrivals in 1 hour =60 minutes/15 =4 minutes/arrival

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Answer 2

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