Assume that an entertainment company operates a movie theatre with 83 available seats. Historically, the probability that a customer will show up for a randomly selected ticket is 87%. 1. Assume that all 33 tickets were sold. Let X be the number of customers that show up. a. Describe the distribution of X: X~[E](n = .m = E!) b. Find the probability that there will be available seats at the start of the show, in other words, find the probability that not all customers will show up: P(X 3 } 2 {Round the answer to 4 decimal places) c. Find the expected number of customers who show up: E[X] 2 {Round the answer to the whole number} d. Find the expected number of available seats at the start of the show by subtracting the EDI] from the number of available seats: [ {Round the answer to the whole number) 2. Assume that the entertainment company sells 6 more ticket{s). Let Y be the number of customers that show up. a. Describe the distribution of Y: Y~|:? v:|(n=' J,p= ) b. Find the probability that more customers will show up than there are available seats: P(Y > ) 2 (Round the answer to 4 decimal places}