Poisson Probability Function: f(x)=(μ^x e^(-μ))/x! where, f(x) = the probability of x occurrences in an interval µ = the expected value or mean number of occurrences in an interval e = is the mathematical constant 2.71828
Customers for a restaurant arrive at an average rate of 36 customers per hour during lunchtime.
a. Write the Poisson probability distribution function with the specific parameters for this problem.
b. Calculate the probability of receiving exactly 25 customers in a 60-minute interval.
c. Calculate the probability of receiving exactly 30 customers in a 60-minute interval.