Customers arrive at a bank according to a Poisson process with rate = 60 customers per

Customers arrive at a bank according to a Poisson process with rate λ = 60 customers per hour. Say whether each of the following statements is true or false.

a. The Poisson(60) distribution gives the number of customers to arrive in one hour.

b. The Poisson(30) distribution gives the number of customers to arrive in half an hour.

c. The Poisson(60) distribution gives the time waited between customers.

d. The Exponential(60) distribution gives the time waited between customers.

e. The Exponential(1/60) distribution gives the time waited between customers.