May I know the solution to this problem?

page 6 is just a standard normal distribution table

9. (3+3+3+3 marks) (a) Consider a random variable X that has the following probability distribution P(X = 1 ) = K- i! i = 0, 1, 2, . .., where K is a positive constant. Find K and P(X 2 3). (b) For a standard normal random variable X, find E[(X + 1)3]. (c) Let X be an exponential random variable with parameter A. Find P(X 3). (d) A fair coin is tossed 100 times. Find the probability that the number of heads obtained is between 48 and 52 by using using the standard normal distribution table (see Page 6)