Let X be the waiting time (in minutes) until a student's friend arrives. Suppose that X has

Question:

Let X be the waiting time (in minutes) until a student's friend arrives. Suppose that X has density
fx(x) = 1/3 e-x/3
for 0 < x,
and fx{x) = 0 otherwise.
a. Find P(3 ≤ X v 6).
b. Find the CDF Fx(x).
c. Find P{X ≥ 24).
d. Find P(X ≤ -3).
e. Find P(3 ≤ X ≤ 12).
f. Find P(X < 300).
g. Graph the density fx(x).
h. Graph the CDF Fx(x).