Question: How is a cumulative distribution function F left parenthesis x right parenthesis related to the probability density function f left parenthesis x right parenthesis ?

How is a cumulative distribution function F left parenthesis x right parenthesis related to the probability density function f left parenthesis x right parenthesis ? a. The cumulative distribution function F left parenthesis x right parenthesis is the inverse of the probability density function f left parenthesis x right parenthesis ; if you supply a probability, it will provide the corresponding value of x. b. The cumulative distribution function F left parenthesis x right parenthesis is the reciprocal of the probability density function f left parenthesis x right parenthesis ; it decreases as the values of the random variable f left parenthesis x right parenthesis increase. c. The cumulative distribution function F left parenthesis x right parenthesis is the complement of the probability density function f left parenthesis x right parenthesis ; it is the probability that the value x does not occur. d. The cumulative distribution function F left parenthesis x right parenthesis sums the area under the curve of the probability density function f left parenthesis x right parenthesis ; it is the probability that the random variable is less than or equal to x

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