# Question: Assume a Poisson random variable has a mean of four

Assume a Poisson random variable has a mean of four arrivals over a 10-minute interval.

a. What is the mean of the random variable, defined by the time between arrivals?

b. Find the probability that the next arrival would be within the mean time.

c. Find the probability that the next arrival would be between one and two minutes.

a. What is the mean of the random variable, defined by the time between arrivals?

b. Find the probability that the next arrival would be within the mean time.

c. Find the probability that the next arrival would be between one and two minutes.

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