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

Answer:

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

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

$f(x) =\frac{1}{b-a}=\frac{1}{60-40}= \frac{1}{20}, 40\leq X\leq 60$

Step-by-step 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:

$f(x) =\frac{1}{b-a}=\frac{1}{60-40}= \frac{1}{20}, 40\leq X\leq 60$