In: Statistics and Probability
Use Red Cross data to determine the percentage of the population with an Rh factor that is positive (A, B, AB, or O blood types). Use that value for p. How many students in your class have a positive Rh factor? Is this an unusual amount?
The Red Cross data showing the percentage distribution of population with different blood groups and different Rh factors is given below:
Blood type | Percent of Population |
O+ | 37 |
O– | 6 |
A+ | 34 |
A– | 6 |
B+ | 10 |
B– | 2 |
4 | |
1 | |
Total | 100 |
Therefore the percentage of population with a positive Rh factor can be obtained as follows:
p = 37% + 34% + 10% + 4%
= 85%
= 0.85
In a class of 40 students, the details of blood group along with Rh factor for all of the students recorded as below:
Blood Group with Rh factor | Blood Group with Rh factor |
B- | O+ |
O+ | O+ |
O- | B+ |
O+ | B- |
B+ | |
B+ | O+ |
B+ | A- |
O+ | |
O+ | |
B+ | B- |
A+ | A- |
O- | B- |
O+ | |
A- | A+ |
B+ | B- |
O+ | B+ |
O- | A+ |
A- | |
B+ |
From the above record, we observe that 22 students among the 40 had Rh factor positive.
Using the population percentage p = 0.85, the expected number of students with Rh factor positive can be obtained as follows:
E(X) = n ∙ p
= 40 ∙ (0.85)
= 34