Question

g The completion times for a job task range from 11.8 minutes to 19.4 minutes and are thought to be uniformly distributed. What is the probability that it will require between 12.8 and 16.8 minutes to perform the task

Answer 1

Answer: 0.5263

Step-by-step explanation:

Given : The completion times for a job task range from 11.8 minutes to 19.4 minutes .

The density function for uniform distribution function for interval [a,b] :-

$f(x)=\dfrac{1}{b-a}$

Then the density function for the given situation:-

$f(x)=\dfrac{1}{19.4-11.8}=\dfrac{1}{7.6}$

The required interval : $16.8-12.8=4$

Now, the probability that it will require between 12.8 and 16.8 minutes to perform the task will be :-

$\dfrac{4}{7.6}=0.526315789474\approx0.5263$