STATS – Cars arrive at a car wash randomly and independently

| August 30, 2017

Question
Cars arrive at a car wash randomly and independently; the probability of an arrival is the same for any two time intervals of equal length. The mean arrival rate is 15 cars per hour.
A) What is the probability that 12 or more cars will arrive during any given hour of operation?

B) What is the probability that 5 or fewer cars will arrive during any given 20 min. of operation?

C) What is the probability that more than 5 but less than 10 cars will arrive during any given 40 min. of operation?

D) What is the probability that no arrivals happen in any given 10 min. of operation?

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