(a) What is the pmf of X? (b) Find F(3.4) and F(6-) (c) Using just the cdf, compute P(3

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An insurance company offers its policyholder
s a number of different premium payment opt
ions. For a randomly selected policyholder, let
X = the number of months between successiv
e payments. The cdf of X is as follows:
F(x) =
0
x < 1
0.30
1<x<3
0.40 3 ≤ x < 4
0.45 4≤x≤6
0.60 6≤ x < 12
1
x ≥ 12
(a) What is the pmf of X?
(b) Find F(3.4) and F(6-)
(c) Using just the cdf, compute P(3<X<4.5), P
(2≤x≤6) and P(X>4)
Transcribed Image Text:An insurance company offers its policyholder s a number of different premium payment opt ions. For a randomly selected policyholder, let X = the number of months between successiv e payments. The cdf of X is as follows: F(x) = 0 x < 1 0.30 1<x<3 0.40 3 ≤ x < 4 0.45 4≤x≤6 0.60 6≤ x < 12 1 x ≥ 12 (a) What is the pmf of X? (b) Find F(3.4) and F(6-) (c) Using just the cdf, compute P(3<X<4.5), P (2≤x≤6) and P(X>4)
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