Forty-Five Percent of Donors Have Type O Blood $0.45$
Type O Digits:            Other Than Type O Digits

Forty-five percent of donors have type O blood. The blood bank needs 4 donors with
type O blood to restock their reserves. The director has the option of waiting to get 4
type O donors during the day, or ordering type O blood from a neighboring blood
bank. 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, where one run consists of observing the blood type of donors until 4 type $\mathrm { O }$ donors have visited the blood bank.
c) Using the following lines from a random digit table, perform three runs of your
simulation. Based on your results, what is your estimate of the probability of getting
4 Type O donors before 12 donors arrive at the blood bank? (You may mark above
the digits to help explain your procedure.) 68417 35013 15529 72765 85089 57067 50211 47487 82739 57890 20807

81676 55300 94383 14893 60940 72024 17868 24943 61790 90656 87964

73311 12190 06628 71683 12285 39814 29103 81733 73035 57446 99209