An investment firm establiesd in 1987 in Turkey 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(t), find (a) P(T = 6); (b) P(T>2); (c) P(2.6

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An investment firm establiesd in 1987 in Turkey 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(t), find (a)
P(T= 6); (b) P(T> 2); (c) P(2.6<T<5); (d) P(T s6 | T2 3).
0, t<2,
5
2st<4,
8'
F(t) =
4st<6,
4*
7
6st<9,
8'
1,
t29
(a) P(T = 6) =
(Simplify your answer.)
(b) P(T > 2) =
(Simplify your answer.)
(c) P(2.6 <T<5) =
(Simplify your answer.)
(d) P(TS6 | T23)=D
(Simplify your answer.)
Transcribed Image Text:An investment firm establiesd in 1987 in Turkey 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(t), find (a) P(T= 6); (b) P(T> 2); (c) P(2.6<T<5); (d) P(T s6 | T2 3). 0, t<2, 5 2st<4, 8' F(t) = 4st<6, 4* 7 6st<9, 8' 1, t29 (a) P(T = 6) = (Simplify your answer.) (b) P(T > 2) = (Simplify your answer.) (c) P(2.6 <T<5) = (Simplify your answer.) (d) P(TS6 | T23)=D (Simplify your answer.)
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