Question

A continuous probability distribution that is useful in describing the time, or space, between occurrences of an event is a(n) _____ probability distribution?

1) Discrete
2) Normal
3) Uniform
4) Exponential

Answer 1

The exponential probability distribution is a continuous distribution that describes the time or space between occurrences of an event.

Step-by-step explanation:

The continuous probability distribution that is useful in describing the time or space between occurrences of an event is the exponential probability distribution.

An exponential distribution is often concerned with the amount of time until a specific event occurs. For example, the length of time until an earthquake occurs or the length of long-distance phone calls can follow an exponential distribution. It can be described by the probability density function f(x) = me-mx, x ≥ 0, and the cumulative distribution function P(X ≤ x) = 1−e¯mx.

This distribution is continuous and represents random variables that can take any value within a certain range. Therefore, it is the correct answer to the question.