3.62 An insurance company offers its policyholders a number of different premium payment options. For a randomly selected policyholder, let X be the number of months between successive payments. The cumulative distribution function of X is

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3.62 An insurance company offers its policyholders a
number of different premium payment options. For a
randomly selected policyholder, let X be the number of
months between successive payments. The cumulative
distribution function of X is
0,
if a <1,
0.4, if 1 <a < 3,
0.6, if 3 <a < 5,
0.8 if 5 <a < 7,
if x 2 7.
F(x) =
%3D
1.0) i( z2 7. -0,6
(a) What is the probability mass function of X?
(b) Compupe P(4 < X < 7).
iagilo c rsto
Transcribed Image Text:3.62 An insurance company offers its policyholders a number of different premium payment options. For a randomly selected policyholder, let X be the number of months between successive payments. The cumulative distribution function of X is 0, if a <1, 0.4, if 1 <a < 3, 0.6, if 3 <a < 5, 0.8 if 5 <a < 7, if x 2 7. F(x) = %3D 1.0) i( z2 7. -0,6 (a) What is the probability mass function of X? (b) Compupe P(4 < X < 7). iagilo c rsto
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