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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: F(x) = 0.30 0.42 0.45 0.77 x<1 1

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: F(x) = 0.30 0.42 0.45 0.77 x<1 1

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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: x < 1 0 0.30 1 ≤ x < 3 0.42 3 < x < 4 0.45 4 < x < 6 0.77 1 6 < x < 12 12 ≤ x (a) What is the pmf of X? F(x) = X p(x) P(4 ≤ X) 1 (b) Using just the cdf, compute P(3 ≤ x ≤ 6) and P(4 ≤ X). P(3 ≤ x ≤ 6) = = 3 4 6 12
Transcribed Image Text: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: x < 1 0 0.30 1 ≤ x < 3 0.42 3 < x < 4 0.45 4 < x < 6 0.77 1 6 < x < 12 12 ≤ x (a) What is the pmf of X? F(x) = X p(x) P(4 ≤ X) 1 (b) Using just the cdf, compute P(3 ≤ x ≤ 6) and P(4 ≤ X). P(3 ≤ x ≤ 6) = = 3 4 6 12
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