Question

Consider the continuous random variable x, which has a uniform distribution over the interval from 20 to 28. Refer to Exhibit 6-1. The probability density function has what value in the interval between 20 and 28?

Answer 1

Answer: $\dfrac{1}{8}$

Step-by-step explanation:

We know that the probability density function for a uniformly distributed function in interval [a,b] is given by :-

$f(x)=\dfrac{1}{b-a}$

Given : Consider the continuous random variable x, which has a uniform distribution over the interval from 20 to 28.

Then the probability density function in the interval between 20 and 28 will be :-

$f(x)=\dfrac{1}{28-20}=\dfrac{1}{8}$

Hence, the probability density function in the interval between 20 and 28 =$\dfrac{1}{8}$