Question 17 [7 marks) Afather wants to purchase rollerblades for his son's birthday. He knows the blades are available at Sportchek, but isn't sure if the size is available. He doesn't want to spend all day driving around and decides to call the stores to see if they have the right size in stock. There are 5 Sportcheks in the region vvhere he is willing to drive to. The father doesn't know this, but only Mo of the stores have the right size in stock. The father calls the stores in a random order until he nds the right size and puts them on hold. Let the random variable x represent the number of calls made by the father. a] (4 marks} Find the probability distribution of X. b] {3 marks} Find the expected number of stores the father must call