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Which of the following are valid cumulative probability distribution functions? For those that are not valid CDFs, suite at least one property of the CDF which is not satisfied. Solution Only (a) F has to satisfy the following properties F>=0 F is always increasing and is continuous F(x)=1 as x-> infinity (a) satisfies all the properties (b) (c) are not continuous at x=0.

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Which of the following are valid cumulative probability distribution functions? For those that are not valid CDFs, suite at least one property of the CDF which is not satisfied. Solution Only (a) F has to satisfy the following properties F>=0 F is always increasing and is continuous F(x)=1 as x-> infinity (a) satisfies all the properties (b) (c) are not continuous at x=0

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