Students are given a multiple choice exam with 4 questions. The random variable X = the number answers correct. Possible values = {0, 1, 2, 3, 4}. From past data, 10% of students get zero correct answers, 10% get exactly one correct answer, 20% get two correct, and 40% get three correct. It can be determined that 20% of students got all correct answer.
A.) Create the probability distribution of X
B.) Find P(X>=2)
C.) Find P(X<2)
D.) Find the cumulative distribution function of P(X=2)
E.) Find the expected value of x