An investment firm offers its customers municipal bonds that mature after varying numbers of years. The cumulative probability distribution function of the number of years to maturity for a randomly selected bond is F(t)= 0 1/4 1/2 3/4 1 if t < 1,0 if 1 ≤t <3, if 3 < t < 5, if 5 7.

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Find (fraction - lowest form):

a. P (T = 5)
b. P (T ≤ 5 | T ≥ 2)

An investment firm offers its customers municipal
bonds that mature after varying numbers of years.
The cumulative probability distribution function
of the number of years to maturity for a randomly
selected bond is
F(t)
0 if t < 1,0
1/4
1/2
3/4
1
if 1<t <3,
if 3 < t < 5,
if 5 < t <7,
if t ≥ 7.
Transcribed Image Text:An investment firm offers its customers municipal bonds that mature after varying numbers of years. The cumulative probability distribution function of the number of years to maturity for a randomly selected bond is F(t) 0 if t < 1,0 1/4 1/2 3/4 1 if 1<t <3, if 3 < t < 5, if 5 < t <7, if t ≥ 7.
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