Suppose the pdf of the magnitude X of a dynamic load on a bridge(in newtons) is given by
f(x) = 1/8 + (3/8 * x)
for 0 ≤ x ≤ 2.
a. Use the pdf to find the probability that the load is between 1and 1.5 newtons, so find P(1 ≤ X ≤ 1.5).
b. Compute E[X].
c. Compute V[X].
