Statistics for analytics

probability
inferential_stats
statistics

#1

Hi I have a problem which i can answer logically but i want to use stats to answer this problem

Problem :

There are 40 orders to be delivered to customer and one delivery boy can handle all 40 deliveries in a Day
Now there will be 40 different invoice amounts ranging from 100 to 1,00,000 rs

Probability Distribution of Denomination:
1000 - 2%
500 - 40%
100 - 30 %
50 - 20%
20 - 5%
10 - 3%

What amount of change should a delivery boy take with him with what denominations considering we have 40 orders to be delivered