Question

Consider the continuous random variable x, which has a uniform distribution over the interval from 20 to 28. The probability density function has what value in the interval between 20 and 28?a. 1.000 b. 0c. 0.125 d. 0.050

Answer 1

Answer:

The probability density function is f(x)=0.125.

Step-by-step explanation:

We have he continuous random variable x, which has a uniform distribution over the interval from 20 to 28. We calculate the probability density function has what value in the interval between 20 and 28.  

We use the formula:

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

We have a=20 and b=28, we get

$f(x)=\frac{1}{28-20}\\\\f(x)=\frac{1}{8}\\\\f(x)=0.125$

The probability density function is f(x)=0.125.