Suppose X is a uniform random variable with a = 25 and b = 65.
a. Find the mean, variance, and standard deviation of X.
b. Find the probability that X is more than two standard deviations from the mean.
c. Find a value c such that P(X ≤ σ) = 0.40.
d. Suppose two values of X are selected at random. What is the probability that both values are between 30 and 40?