Can you please help? I'll give a like!

An certain brand of upright freezer is available in three different rated capacities: 16 ft3, 18 ft3, and 20 ft3. Let X = the rated capacity of a freezer of this brand sold at a certain store. Suppose that X has the following pmf. x 15 18 20 pfx) 0.1 0.4 0.5 (a) Compute 5m, E(X2}, and vrx}. (b) If the price of a freezer having capacity X is 66X 550, what is the expected price paid by the next customer to buy a freezer? 3;: (c) What is the variance of the price paid by the next customer? l:l (d) Suppose that although the rated capacity of a freezer is X, the actual capacity is 100 = X 0.009X'2. What is the expected actual capacity of the freezer purchased by the next customer? {Enter your answer to four decimal places.) :9 A personnel director interviewing 13 senior engineers for four job openings has scheduled seven interviews for the rst day and six for the second day of interviewing. Assume that the candidates are interviewed in a random order. (a) What is the probability that x of the top four candidates are interviewed on the first day? 0 h{x; 7, 4, 13} O hm; 7, 13, 4} O hm; 5, 4, 13} O h{x; 5, 13, 4} (b) How manyr of the top four candidates can be expected to be interviewed on the rst day? [Round your answer to two decimal places.)