QUESTION 7 For a randomly selected policyholder, let X = the number of months between successive payments. The cumulative distribution function of X is as follows: x<1 0.3 15x< 3 0.4 3x<4 0.45 4 sx < 6 F(x) = %3D 0.6 6

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QUESTION 7
For a randomly selected policyholder, let X = the number of months between successive
payments. The cumulative distribution function of X is as follows:
x<1
0.3 15x< 3
0.4 3Sx<4
0.45 4sx< 6
65x<12
12 Sx
F(x) =
0.6
a)
Compute P(3 s X< 6).
STA01A1 Assignment 2. University of Johannesburg
b)
Compute P(4 s X).
Transcribed Image Text:QUESTION 7 For a randomly selected policyholder, let X = the number of months between successive payments. The cumulative distribution function of X is as follows: x<1 0.3 15x< 3 0.4 3Sx<4 0.45 4sx< 6 65x<12 12 Sx F(x) = 0.6 a) Compute P(3 s X< 6). STA01A1 Assignment 2. University of Johannesburg b) Compute P(4 s X).
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