Hello! I am confused with these two questions. Could you please help me? Thank you!

4. (9 pts) Twenty percent of wells drilled in areas deemed favorable strike oil. A company has 50 wells at different sites. Dene S as the number of wells that strike oil out of the 50 sites, and let Q be the proportion of wells owned by the company that strike oil, that is, Q = S/50. a. What is the distribution of S? State clearly the parameter values associated with the distribution. b. Calculate the expected proportion of wells that strike oil, E(Q). 0. Calculate the variance of Q. Save result to 4 decimal points. 7. (7 pts) The scheduled time of arrival of a ight to New York is 8:00 am. However, the actual time of arrival is (8 + X) am, where X is a random variable having the following probability density function: f(x) = {(c3 + 1)e'2", x > 0, 0, otherwise. a. Find the value of the constant c in the probability density function. b. What is the probability that the ight will arrive between 9:00 am. to 10:00 am? Save result to 3 decimal points