In a continuous probability distribution,the probability that x will take on an exact value:
A) is equal to the height of the curve at that value.
B) is calculated using the probability density.
C) is always equal to 0.
D) is always greater than 0.
E) None of these is correct.

Question

Quizplus · Accepted Answer

In a continuous probability distribution, the probability that x will take on an exact value is always equal to 0 because the probability of any single point in a continuous distribution is infinitesimally small. Therefore, when we calculate the probability of an interval in a continuous distribution, we calculate the area under the curve over that interval, not a single point.

In a Continuous Probability Distribution,the Probability That X Will Take