Based on your understanding analyze using Monte Carlo Simulation.

6. Charitz Fund collection drive The local charity group has decided to make door to door solicitation for funds. The fund collected will be used to help a local orphanage. They propose to visit various residences and request for contribution. A resident can contribute o $ 15 ( and receive a free 4x 6 photo frame) 0 or $ 25 (and receive a free 5 x 7 photo frame) Last year's statistics shows: 0 Only 80% of the houses visited have a person at home who can respond to their request. 0 When someone is at home there is only a 40% are willing donors. Experience also shows that: o If the volunteer collecting donation is a male, he covers 30 houses and there is : - 60% chance a willing donor contributes S 15 - 40% chance a willing donor contribute $ 25 o If the volunteer collecting donation is a female, she covers 25 houses per day with the following probabilities of collection. 0 30% chance a willing donor contributes S 15 o 65% chance a willing donor contributes S 25 o 5% chance they contribute more than S 25. The amount varies discrete uniform distribution in increments of S 5 between 5 30 and S 50. Question: a) 10 volunteers comprising of 5 men and 5 women proceed for collection of funds. Simulate their daily collection. b] They have targeted S 100,000 collection. How many days should the 10 volunteers plan to carry out the fund drive to collect the targeted amount? c] State any assumption made