Please show me all the necessary step and vann diagram. Thank you

1. (10 pts) Airlines sometimes overbook flights. Suppose that for a plane with 50 seats, 53 passengers have tickets. Define the random variable Y as the number of ticketed passengers who actually show up for the flight. The probability mass function of Y appears in the accompanying table: y 46 47 48 49 50 51 52 53 p(y) 0.05 0.05 0.2 0.15 0.2 0.2 0.1 0.05 1. What is the probability that the flight will accommodate all ticketed passengers who show up? 2. Find the mean value E(Y). 3. Find the expected value E(-3Y + 1)