Question

If we have $f\left(x\right)=2x$ , $0\le x\le 1$, then $f\left(x\right)$ is a:

• A. Probability distribution
• B. Probability density function
• C. Distribution function
• D. Continuous random variable

Answer 1

The correct option is B Probability density function

Given $f\left(x\right)=2x,0\le x\le 1$.

We have to identify the function $f\left(x\right)$.

Consider $0\le x\le 1$

That is, $x$ is a random variable that takes infinitely possible values in the range $[0,1]$.

Then we can say that $x$ is a continuous random variable.

We know that, a formula or equation used to represent the probability' distribution of a continuous random variable is called probability density function.

Thus $f\left(x\right)$ is a probability density function.