Q5: An insurance company offers its policyholders a number of different premium payment options. For randomly selected policy holder, let X be the number of months between successive payments. The cumulative distribution function of X is (5) 0. 0.4 if x < 1 if 1≤x≤3 if 3 ≤ x ≤ 5 F(x)=0.6 0.8 if 5 ≤x≤7 1 if x ≥7 a) What is the probability mass function of X?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.3: Special Probability Density Functions
Problem 54E
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Q5: An insurance company offers its policyholders a number of different premium payment options. For
randomly selected policy holder, let X be the number of months between successive payments. The
cumulative distribution function of X is
(5)
0.
0.4
if x < 1
if 1≤x≤3
if 3 ≤ x ≤ 5
F(x)=0.6
0.8
if 5 ≤x≤7
1
if x ≥7
a) What is the probability mass function of X?
Transcribed Image Text:Q5: An insurance company offers its policyholders a number of different premium payment options. For randomly selected policy holder, let X be the number of months between successive payments. The cumulative distribution function of X is (5) 0. 0.4 if x < 1 if 1≤x≤3 if 3 ≤ x ≤ 5 F(x)=0.6 0.8 if 5 ≤x≤7 1 if x ≥7 a) What is the probability mass function of X?
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