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 given by F(1), find (a) P(T = 7); (b) P(T > 2); (c) P(5.6 < T < 9); (d) P(Ts7|T26). 0, t<2, 2 2st< 5, 5' É F(t) = 5st<7, 5' 7st< 10, 5 1, t2 10 ......

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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 given by F(1), find (a) P(T = 7); (b) P(T> 2): (c) P(5.6 <T< 9);
(d) P(Ts7|T26).
0, t<2,
2
2st< 5,
5'
F(t) =
5st<7,
5
7st< 10,
1,
t2 10
.....
1
(a) P(T = 7) =
5
(Simplify your answer.)
(b) P(T > 2) =
(Simplify your answer.)
(c) P(5.6 <T<9) =
(Simplify your answer.)
(d) P(Ts7|T26) =
(Simplify your answer.)
Transcribed Image Text: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 given by F(1), find (a) P(T = 7); (b) P(T> 2): (c) P(5.6 <T< 9); (d) P(Ts7|T26). 0, t<2, 2 2st< 5, 5' F(t) = 5st<7, 5 7st< 10, 1, t2 10 ..... 1 (a) P(T = 7) = 5 (Simplify your answer.) (b) P(T > 2) = (Simplify your answer.) (c) P(5.6 <T<9) = (Simplify your answer.) (d) P(Ts7|T26) = (Simplify your answer.)
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