An investment firm offers its customers municipal bonds that mature after varying numbers of years. Given that the cumulative distribution function of T, the number of years to maturity for a randomly selected bond, is:
F(t) =
0, t < 1
1/4, 1 ≤ t < 3
1/2, 3 ≤ t < 4
3/4, 4 ≤ t < 7
1, t ≥ 7
(a) P(T=4);
(b) P(T > 2);
(c) P(2.7 < T < 5.3)
(d) P(T≤ 5|T ≥ 2)