Suppose that a beginner driver can have a maximum of 5 attempts to pass the driving test. If he fails in an attempt, he will take the test again (but not more than 5 times in total; if he fails in the 5th attempt, he will have to attend the driving course again). Suppose the driver can pass the test in each attempt with probability 3/4, and the attempts are independent. Let X denote the number of attempts the driver will make. (a) Find the distribution of X. (b) Find P(X 3). (c) Find E(X).