Poissan Probability Function: x! f(x) = the probability of x ocrurrences in an interval = the expected value or mean number of occurrences in an interval e= is the mathematical constant 2.71828 Questions 1. Which are the parameters of this distribution function? (There is only one) 2. Write the Poisson probability distribution function two times. 3. 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 E Calculate the probability of receiving exactly 30 customers in a 60-minute interval d. Construct the probability distribution table of new customer arrival This is a table of x and f{x}. Generate one column for the number of x occurrences with numbers 0-50 in each row. Generate a second column for the probability fx) of each occurrence using the Excel function =POISSON. DIST(x, , FALSE) in each row. Attach the table to the end of your homework What is the probability that between 15 and 20 guesta will arrive in a 60 minute interval? Rewrite the probability distribution function to calculate the probability of having exartly 10 customers in a 30-minute interval. You do not need to calculate the probability, just adjust the parameter a for a 30-minute interval instead of a 60-minute interval and write the equation.