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...


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:<br>X < 1<br>1<x< 3<br>0.31<br>l0.43<br>3 Sx< 4<br>F(x) =<br>0.46<br>4 <x < 6<br>0.80<br>6Sx< 12<br>12 <x<br>(a) What is the pmf of X?<br>1.<br>12<br>P(x)<br>(b) Using just the cdf, compute P(3 < X S 6) and P(4 S X).<br>P(3 S XS 6) =<br>P(4 S X) =<br>

Extracted 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=""><>< 3="" 0.31="" l0.43="" 3="">< 4="" f(x)="0.46" 4="">< 6="" 0.80="">< 12="" 12="">< x="" s="" 6)="" and="" p(4="" s="" x).="" p(3="" s="" xs="" 6)="P(4" s="" x)="">

Jun 05, 2022
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