In a Particular City, 45% of Donors Have Type O

Essay

In a particular city, 45% of donors have type O blood. On a certain day, the blood bank needed 4 donors with type O blood to restock their reserves. The director has the option of waiting to get 4 donors during the day, or ordering type O blood from a neighboring blood bank. The director would like to replace the blood before 12 donors come to the bank, the typical number to arrive before noon. Your task is to design and conduct a simulation to estimate the probability it takes 12 or more donors to get 4 with type O blood.
a)To simulate the arrival of blood donors from this population, assign digits to the blood types that will result in a probability of success (Type O donor) of 0.45.
Type O Digits:
Other than Type O Digits:
​
b)Describe how you would use a random digit table to conduct one run of your simulation.
​
c)Using the following lines from a random digit table, perform 5 runs. Based on your results, what do you estimate to be the probability of getting 4 Type O donors before 12 donors arrive at the blood bank? (Mark on the digits to help explain your procedure.)