Page 5 of 8 5. A flight from Waterloo to Calgary has 66 seats on it. 20% of the seat are in the business class. Suppose I selected 10 passengers at random at the boarding gate and let Y = number of passengers whose seats are in the business class. [3 marks] (a) What is the distribution of Y? State the probability mass function of Y. Make sure to include the support of Y. [3 marks] (b) The profit the airline company made per flight is: G = 1320+20Y. What is the expected profit from this flight? [3 marks] (c) What is the variability of the profit