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An insurance company offers its policyholders a number of different payment options. For a randomly selected policyholder, let be the number of months between successive

An insurance company offers its policyholders a number of different payment options. For a randomly selected policyholder, let be the number of months between successive payments. The cumulative distribution function (CDF) of is: () = { 0, < 1

0.4, 1 < 3

0.6, 3 < 5

0.8, 5 < 7

1, 7}

The standard deviation is:

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