Question

True or False and Provide Expalantion:

For the negative values of x, the values of the function distribution F(x) are always negative.

Answer 1

The given statement is FALSE.

The distribution function of any random variable is always non-negative and thus for the negative value of x, the value of the distribution function F(x) is non-negative.

The distribution function F(x) at a value x is the probability of the random variable X taking value less than or equal to x and since F(x) is a probability its value is non-negative always. [ANSWER]

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