An investment firm offers its customers municipal bonds that mature after varying number of years. Given that the cumulative distribution function of T, the number of years to maturity for a randomly selected bond, is An investment firm offers its customers municipal bonds that mature after varying number 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, for t<1,F(t)=0, for t<1,
F(t)=14, for 1≤t<3
F(t)=12, for 3≤t<5
F(t)=34, for 5≤t<7
F(t)=1, for t≥7,find
a) P(T=5)
b) P(T>3)
c) P(1.4<T<6)
d) P(T≤5|T≥2).