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SIT191 Problem solving task 2 Due: no later than noon Friday 31st August 2018 To

ID: 2907850 • Letter: S

Question

SIT191 Problem solving task 2 Due: no later than noon Friday 31st August 2018 Total marks: 93 marks Weighting: 10% 2.1 In Australia, 49% of the population have blood type O, 38% have type A,10% have type B and 3% have type AB. Describe how you would use random numbers to represent the four different blood types Use simulation (with at least 10 trials) to estimat people with blood type O and one person with blood type A. nclude the results of all of your trials, as well as the final estimate. a) b) e the number of donors needed to ensure at least three 2+5-7 marks] blel can't tell then

Explanation / Answer

We could use random numbers to assign outcomes for each of the blood types as followed:-

Blood Type O: 0-48

Blood Type A: 49-86

Blood Type B: 87-96

Blood Type AB: 97-99

(b) for simulation trial minimum four persons should be included

trial 1=1,48,7,50 total=4

trial 2=2,8,47,53,97,65   total=6

trial 3=45,22,34,18,60,67,89   total=7

trial 4=19,31,43,7,52,71,89,97,87,90   total=10

trial 5=7,16,23,44,60,72,91,93,95 total=9

trial 6=9,1,11,33,45,85,77,98   total=8

trial 7=4,14,24,34,44,54,64,74,84,94,97 total=11

trial 8=9,18,27,36,45,54,63,72,81,90,99 total=11

trial9=8,16,32,40,64,80,91 total=7

trial 10=5,10,20,45,50,55,65,75,85,95   total=10

final estimate=(4+6+7+10+9+8+11+11+7+10)/10

=83/10

=8.3

approx 8 donors are required