Question

Cars arriving for gasoline at a particular gas station follow a Poisson distribution with a mean of 5 per hour. a. Determine the probability that over the next hour only one car will arrive. b. Compute the probability that in the next 3 hours more than 20 cars will arrive.

Answer 1

Answer:

Given

Poisson Distribution with mean of 9 per hour

Mean of Process = Xt

Explanation:

Answer 2

Step-by-step explanation:

Given

Poisson Distribution with mean of 9 per hour

Mean of Process

Probability that over the next hour , only one car will arrive

Probability is given by

For k=1 and t=1

(b) For next 6 hours , more than 22 cars will arrive will be given by

k=22, t=6 hr