Question

The assembly time for a product is uniformly distributed between 6 and 10 minutes. The probability density function has what value in the interval between 6 and 10?

Answer 1

Answer: $\dfrac{1}{6}$

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 : The assembly time for a product is uniformly distributed between 6 and 10 minutes.

Then the probability density function in the interval between 6 and 10 will be :-

$f(x)=\dfrac{1}{6-0}=\dfrac{1}{6}$

Hence, the probability density function in the interval between 6 and 10 =$\dfrac{1}{6}$