Question

The time it takes to preform a task has a continuous uniform distribution between 43 min and 57min. What is the the probability it takes between 50.5 and 52.8 min. Round to 4 decimal places.

Answer 1

Given that the time has a continuous distribution between 43 minutes and 57 minutes.

To find the probability it takes between 50.5 minutes and 52.8 minutes, we have:

`P\mleft(50.5\text{ min and 52.8 min}\mright)=\text{ }(52.8-50.5)/(57-43)=(2.3)/(14)=\text{ 0.16}43`

Therefore, the probablity it takes between 50.5 min and 52.8 min is 0.