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(t), find (a) P(T = 6); (b) P(T> 3); (c) P(1.4

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Chapter1: Combinatorial Analysis
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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(t), find (a) P(T= 6); (b) P(T> 3); (c)
P(1.4<T<4); (d) P(T≤3 | T≥2).
F(t) =
0, t<1,
4'
3
4'
1<t<3,
3≤t<6,
7
8'
1, 28
6≤t<8,
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(t), find (a) P(T= 6); (b) P(T> 3); (c) P(1.4<T<4); (d) P(T≤3 | T≥2). F(t) = 0, t<1, 4' 3 4' 1<t<3, 3≤t<6, 7 8' 1, 28 6≤t<8,
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