People with type O-negative blood are referred to as universal donors, although

Question

People with type O-negative blood are referred to as universal donors, although if you give type O-negative blood to any patient you run the risk of a transfusion reaction due to certain antibodies present in the blood. However, any patient can receive a transfusion of O-negative red blood cells. Only 5.4% of the American population have O-negative blood. If 9 people appear at random to give blood, what is the probability that at least one of them is a universal donor? (Use 4 decimal places.) eBook

Explanation / Answer

Solution:

Given in the question:

N=4

P=0.054

Q=1-0.054 = 0.946

P(X>=1,9) = 1- P(X=0)

P(X=0) = 9C0 * (0.054)^0 * (0.946)^9

P(X=0) = 1*1 *0.6067 = 0.6067

So P(X>=1) = 1- 0.6067 = 0.3933

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