3. [11 marks] You have ve friends taking a Probability course, and everyone has been working remotely on an assignment that is due in two days. You cannot seem to get the answer to the last question though. Suppose that two of your friends have the expertise to answer the last question on the assignment. In order to get help, you decide to call your ve friends in the course, in a random order, until you reach a friend that can help you solve the assignment question. Let the random variable X represent the number of friends in the class that you contact. a. Determine the probability function of X. Please express the pf in table form and leave the values in fraction form. [3] b. Determine the cumulative distribution function of X. Please express the cdf in table form and leave the values as fractions. [3] C- [Z] (1. Now, let the random variable T represent the total amount of time [in minutes) that you spend on the phone in an effort to get the answer to the homework question. Suppose that T is related to X via the functional relationship: T= 2.65X2 6.24X + 27. How many minutes should you expect to spend on the phone? Please express your answer to 3 decimal places of accuracy. [3]