An instructor is waiting on n students to complete an assignment. Let Xi denote the time required for student i to complete the task, i = 1, 2, . . . ,n. Suppose {X 1, X2, . . . , Xn} is a collection of independent and identically distributed continuous random variables such that the PDF of each random variable in the collection is given by AsaM a: > 0 f($) _ { 0 otherwise where A is a constant such that A > 0. Let X min denote the time that the rst completion of the assignment occurs, and let XMLx denote the time that the last completion occurs. 1. (4) Construct the CDF of Xmax. 2' (2) Determine the expected value of X max. 3' (4) Construct the CDF of Xrnin- 4. (2) Determine the expected value of X min