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>6); (c) P(1.2

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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> 6); (c)
P(1.2<T<7); (d) P(T≤6 | T≥2).
F(t) =
0, t< 1,
| @ N | A|-0
3
4
1,
1≤t<3
3≤t<6
6≤t<8
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> 6); (c) P(1.2<T<7); (d) P(T≤6 | T≥2). F(t) = 0, t< 1, | @ N | A|-0 3 4 1, 1≤t<3 3≤t<6 6≤t<8 t≥8
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