Question

In continuous distribution, the probability is the area between the probability curve and the horizontal axis.

A. True
B. Depends on the detailed distribution.
C. False

Answer 1

The probability in continuous distributions is represented by the area under the probability curve within a given interval, not between the curve and the horizontal axis.

Step-by-step explanation:

In continuous probability distributions, the probability is not directly represented by the area between the probability curve and the horizontal axis. Instead, the area between the curve and the horizontal axis represents the probability of the random variable falling within that range.

The probability is equal to the area under the probability curve within a given interval, as represented by the cumulative distribution function (CDF). The CDF gives the probability of the random variable being less than or equal to a specified value.

Therefore, the statement is C. False.