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Let X = the time between two successive arrivals at the drive-up window of a local...

Let X = the time between two successive arrivals at the drive-up window of a local bank. If X has an exponential distribution with λ = 1/3 , compute the following:

a. If no one comes to the drive-up window in the next 15 minutes (starting now), what is the chance that no one will show up during the next 20 minutes (starting now)?
b. Find the probability that two people arrive in the next minute.
c. How many people would you expect to arrive in one hour?
d. Find the probability that 15 people will arrive in the next hour.

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