Frank eats lunch 4 out of every 5 working days and spends a minimum of 5 pounds, a maximum of 15 pounds, with a most likely value of 8 pounds, per lunch. What is the distribution of possible lunch costs at the end of a work week?
The solution, under the (unlikely to be true but easy to manipulate mathematically) assumption that lunch costs on any given day are normally distributed, is shown below for some parameter values.
I went quite far with this but there's still some work left to do so, technically, this is still work in progress.
Originally written on April 6, 2015.
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