Consider a continuous uniform random variable X with a minimum value of 3 and maximum value of 8. In symbols, let X U (3, 8).

a) Determine the probability: P(X = 5).

b) Determine the expected value (mean) of X.

c) Determine the probability: P(4 <= X <= 6).

d) Determine the probability density function for X, and sketch the graph of this function (with outcomes on the horizontal axis and their corresponding probability density function values on the vertical axis)