Consider a random variable with the following probability distribution: P(X = 0) = 0.1, P(X = 1)

Question:

Consider a random variable with the following probability distribution: P(X = 0) = 0.1,
P(X = 1) = 0.2, P(X = 2) = 0.3, P(X = 3) = 0.3, and P(X = 4) = 0.1.
a. Find P(X ≤ 2)
b. Find P(1 < X ≤ 3)
c. Find P(X > 0)
d. Find P(X > 3 | X > 2)
e. Find the expected value of X.
f. Find the standard deviation of X.