Which of the following isare NOT correct about a continuous

Which of the following is/are NOT correct about a continuous random variable? CHECK ALL THAT APPLY.
A. It can only take on integer values.
B. The probability that it has a value equal to x is given by f(x) where f is the density function.
C. The probability that it has a value that falls between real values a and b is given by the area under the density function over the range (a,b).

Solution

The following are not correct about a continuous random variable:

A. It can only take on integer values.

B. The probability that it has a value equal to x is given by f(x) where f is the density function.

Explaination:

A Continuous variable can take any value between given interval so the statement that It can only take on integer values is false.

In probability theory, a probability density function (PDF), of a continuous random variable, is a function that describes the relative likelihood for this random variable to take on a given value.For a continuous random variable probability at a single value say x is assumed to be 0. The probability of the random variable falling within a particular range of values is given by the integral of this variable