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. Rewrite the probability distribution function to calculate the probability of having exactly 10 customers in a 30- minute interval. You do not need to calculate the probability, just adjust the parameter µ for a 30-minute interval instead of a 60-minute interval and write the equation.