please answer the below question which is complete

Problem 3 (15 pt): A wheel of fortune is calibrated fairly from zero to 2, and the wheel can be spun repeatedly. Denote by Un the result of the nth spin for n : 1, 2, - - - , Then, U.\" for each in is uniformly distributed between D and 2. We assume that U1,U2,--- are statistically independent. You spin the wheel of fortune K times, and the resulting readings are summed to obtain an experimental value of random variable 5. The pmf of K is kl para) 4(3) ,k=1,2,--- Random variable If and U1, U2, - - - are mutually independent statistically. {a} 1What is expected value ES}? (b) What is expected value ELS'Z}? {c} 1What is the variance of S