Question

The length of time it takes students to complete a statistics examination is uniformly distributed and varies between 40 and 60 minutes. What is the probability density function for the length of time to complete the exam?

Answer 1

`X \sim Unif (a=40, b=60)`

And for this case we want to find the probability density function and we know that is given by:

`f(x) =(1)/(b-a)=(1)/(60-40)= (1)/(20), 40\leq X\leq 60`

Explanation:

Let X the random variable who represent the length of time it takes students to complete a statistics examination. And the distribution for x is given by:

`X \sim Unif (a=40, b=60)`

And for this case we want to find the probability density function and we know that is given by:

`f(x) =(1)/(b-a)=(1)/(60-40)= (1)/(20), 40\leq X\leq 60`