In addition to the blood types A, B, AB , and O, a person’s blood may be classified as Rh positive or Rh negative. In the United States, about 15% of the white population is Rh negative, while the percent is much lower in other racial groups. The director of a blood bank wants to estimate the probability that in a random group of 50 unrelated white donors, at least 8 will have Rh negative blood. If she generates random numbers to simulate this problem, how could she assign the numbers to the two blood types?
A.
Assign the numbers 0 through 8.5 to people with Rh positive blood and the numbers 8.6 through 9.9 to people with Rh negative blood.
B.
Assign the integers 00 through 84 to people with Rh negative blood and the integers 85 through 99 to people with Rh positive blood.
C.
Assign the integers 00 through 85 to people with Rh positive blood and integers 86 through 99 to people with Rh negative blood.
D.
Assign the integers 00 through 84 to people with Rh positive blood and the integers 85 through 99 to people with Rh negative blood.
those are the answer choices
To simulate the problem and estimate the probability that at least 8 out of 50 unrelated white donors have Rh negative blood, the director of the blood bank can assign the random numbers to the two blood types in the following way:
1. Assign numbers from 0 to 999 to represent the percentage or proportion of individuals with Rh negative blood.
2. Suppose the director generates a random number for each of the 50 unrelated white donors.
3. Based on the percentage of the white population that is Rh negative (15%), the director can assign the range of numbers from 0 to 149 (or 0.000 to 0.149) to represent Rh negative blood. Any random number falling within this range would indicate Rh negative blood.
4. Similarly, the range of numbers from 150 to 999 (or 0.150 to 0.999) can be assigned to represent Rh positive blood. Any random number falling within this range would indicate Rh positive blood.
5. By assigning the random numbers in this way, the director can simulate the blood types of the 50 unrelated white donors.
Once the blood types have been assigned, the director can count the number of donors with Rh negative blood and calculate the proportion of donors with Rh negative blood. Based on this proportion, the director can estimate the probability of having at least 8 donors with Rh negative blood using statistical methods, such as sampling distribution or simulation techniques.