Question

A random variable X is defined as the distance a dart lands from the center of the target. The probability density of the variable is p(x). Which statement about X or its probability distribution is generally true?

X is a discrete random variable with an infinite number of values.

The variance of X is 0.

The probability P(x1 < X < x2) is given by the area under the curve between x1 and x2.

The mean value of X is 0.