HW4 - Question.docx - CB2203 Data Driven Business Modeling...

CB2203 Data Driven Business Modeling
Homework 4
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may type your solution. Please save your files as HW4-XXXXXXXX.xlsx/.pdf/.doc as
appropriate, where XXXXXXXX is your student id number.
You run a small charity to provide transportation for the elderly. You have a team of
volunteer drivers, and you reimburse the drivers a small sum of money for each ride
depending on the distance between the pick-up point and the destination. You would like to
estimate the daily reimbursement cost. Based on operations of the past year, you know the
following information:
1. The number of people who call for a ride in each day is between 0 and 2. The
probability that there will be X callers, where X = 0,1,2 is:
Number of callers per day Probability
0 0.10
1 0.65
2 0.25
2. Each caller’s will ask for a ride between two locations. You reimburse your drivers
(for gas, tunnel charges, etc) based on the following schedule:
Ride ID Probability Reimbursement
A – Kowloon  New Territories 0.5 $30
B – Kowloon  HK Island 0.4 $25
C – HK Island  New Territories 0.1 $50
In Parts (a)-(c), you will design a SIMULATION BY HAND experiment over 10 days (i.e. 10
trials). The following random numbers from 00-99 have already been generated.

List 1 - Random numbers to determine the number of call requests. Start at the top of
the list.