MTH 2401 Midterm Test I, Spring 2024 Name: Student ID: Problem 0. (5 pts) Be sure to attach your cheat sheet to your test Problem 1: (10 pts) (a) (4 pts) (No explanations are necessary.) The plot shows the pdf for three independent random variables X, Y, W . All use the same horizontal and vertical scale. Which random variable has the greatest variance? (b) (6 pts) Suppose A and B are two events and P (A) = 0.7, P (B) = 0.3 and P (A ∩ B) = 0.25. Compute each of the following (i) Compute P (A ∪ B) (ii) Comute P (A|B) Problem 2: (15 pts) Suppose that the cdf of X is given by: F (x) =  0    1 x