The probability that a random variable in a continuous probability distribution will assume a value between a and b is given by ________.
A)the area above the function curve between two boundary values a and b
B)the width of the function curve between two boundary values a and b
C)the area beneath the function curve between two boundary values a and b
D)the height of the function curve between two boundary values a and b

Question

Quizplus · Accepted Answer

The probability that a random variable in a continuous probability distribution will assume a value between a and b is given by the area beneath the function curve between two boundary values a and b. This is known as the area under the curve or the definite integral of the probability density function over the interval [a,b].

The Probability That a Random Variable in a Continuous Probability