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Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter9: Quadratic Functions And Equations

Section9.9: Combining Functions

Problem 27PPS

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An insurance company offers its policyholders a number of different premium payment options. For a randomly selected policyholder, let X = the number of months between successive payments. The cdf of X is as follows:
0
x < 1
1<x<3
0.38
0.51 3 ≤ x < 4
0.53 4 ≤ x < 6
6 ≤ x < 12
0.83
1
12 ≤ x
F(x) =
(a) What is the pmf of X?
1
X
p(x)
3
(b) Using just the cdf, compute P(3 ≤ x ≤ 6) and P(4 ≤ X).
P(3 ≤ x ≤ 6) =
P(4 ≤ X) =
4
6
12

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