SOLUTION: The time it takes to complete a task uniformly distributed between 27 minutes and 68 minutes. What is the probability the task will take me more than 44 minutes given that I have a

Click here to see ALL problems on Probability-and-statistics

Question 1085776: The time it takes to complete a task uniformly distributed between 27 minutes and 68 minutes. What is the probability the task will take me more than 44 minutes given that I have already worked for 32 minutes?
Answer by mathmate(429) (Show Source):
You can put this solution on YOUR website!
Question:
The time it takes to complete a task uniformly distributed between 27 minutes and 68 minutes. What is the probability the task will take me more than 44 minutes given that I have already worked for 32 minutes?

Solution
Time to complete is uniformly distributed between 27 and 68 minutes.
It is also uniformly distributed between 32 and 68 minutes.
So
0***************************27**********32*******44***************68
Probability that it take more than 44 minutes is therefore
P(>44)=(68-44)/(68-32)=24/36=2/3