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.

Respuesta :

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:

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

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