I need your help solving this problem. Please help me by answering and explanations.

Problem 1. During registration, 80 students try to sign up for the 76 seats in a class. The random variable X represents how many students who show up on the rst day. These students are the only ones interested in the class, and the others will drop it. The probability mass function of X is: p(a:) 0.01 0.02 0.03 0.05 0.06 0.17 0.25 0.14 0.12 0.10 0.05 (a) What is the probability that everyone who is interested in the class can take it? (b) What is the probability that at least one interested person cannot take the class? (c) What is the probability of there being at least one empty seat? (d) What are the expected value and standard deviation of X '3' ) (e Let Y represent the number of interested students who can't get in this semester. What are the pmf, expected value, and standard deviation of Y