Hi Tutors, this below is the full question. if its not solvable please DO NOT comment saying incomplete question as this is the FULL question. Thank you for your valuable time!

1. (1) Pick any 5 of your favorite real numbers from the interval (0,100]. A pmf (f(x)) has the following form based on your picks {x1, X2, 23, X4, 25}, where f (2) =1 0 0.2 X=X1, X2, 23, 24, 25; elsewhere. (i) Compute E(x) and E(x2). (ii) Use the results to find E[(x + 7)2]. (iii) Draw the graph of the corresponding CDF of f(x). (iv) What is the probability that two students pick the exactly same five numbers? (2) Let f(x) be the pdf of the continuous r.v X, where f (x) =10 kx 0