# Jeff’s boss would like him to spend more time on the project. On Mondays, Tuesdays and Wednesdays. Jeff works on the project for the usual amount of…

Jeff’s boss would like him to spend more time on the project. On Mondays, Tuesdays

and Wednesdays. Jeff works on the project for the usual amount of time that he would

on a given day (i.e. uniformly distributed between 3 and 7.9 hours). But on Thursdays

and Fridays, he now works on the project for 2.5 times the amount of time that he

usually would on a given day. The amount of time that he usually would on a given day.

The amount of time that Jeff works on the project is still independent from day to day.

(c) [2 marks] Calculate the expected amount of time that Jeff spends working on

the project in a working week.

(d) [3 marks] Calculate the variance of the amount of time that Jeff spends working

on the project in a working week.

(e) [4 marks] Over the next 50 working weeks. Find the probability that Jeff spends

less than 1994.7 total hours working on the project.

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