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Question 2 (10 marks) Marks a. Suppose that to apply for a personal loan, a person must complete a written application by the loan service and then be interviewed by an interview committee. Bank records show that the probability of a successful written application and interview are 72% and 80%. respectively. If an application is selected at random, what is the probability of approval? Assume that an approval means a successful written application AND interview. [2] b. The following stem-and-leaf diagram shows the time taken (in minutes) for 23 students to complete an online quiz for a statistics unit at The College. Steam Leaf 9 1001255666677 2000212121212223 30 Key:10=10 Draw a box-and-whisker plot for the given stem and leaf diagram. [2] Question 2 (continued) Marks C. Telstra offers mobile phone plans that consists of three different choice of phones, two different memory capacities, and five different colour options. How many unique combinations are available for customers to choose from? [1] d. Suppose that Nirimba Football Club has 50 members. In how many ways can a president, vice-president, and secretary be chosen where no person can hold more than one office? [1] e. In how many ways can five cards be drawn from a standard deck of 52 cards? [1]Question 2 (continued) Marks f. Adam and Jack are both salespeople for the same company and their sample standard deviations and means for their monthly sales are given in the following table. Sample Standard Deviation (5,) Sample Mean (:2) Sales for Jack in $ 136.46 389.5 Sales for Adam (in $) 52.62 355 i. Calculate the coefcient of variation for the sales of Adam and Jack. [2] ii. Decide which salesperson has more variation in their sales, and explain your reasoning. [1]