People with O-negative blood are called "universal donors" because O-negative blood can be given to anyone else regardless of the recipient's blood type.About 6% of people have type O-negative blood.A clinic is running a blood drive.If at least 220 O-negative donors give blood,the clinic will have sufficient O-negative blood for the coming month.If 4000 donors come to the blood drive,what's the probability that the clinic will not have sufficient O-negative donors?
A)0.131
B)0.092
C)0.908
D)0.464
E)0.109

Question

Quizplus · Accepted Answer

We can use the binomial distribution to solve this problem. Let X be the number of O-negative donors out of 4000 donors. Then X follows a binomial distribution with n = 4000 and p = 0.06 (since 6% of people have O-negative blood). We want to find P(X < 220), which is the probability that the clinic will not have sufficient O-negative donors.

Using a binomial calculator, we can find P(X < 220) = 0.0918.

Therefore, the answer is B, and the probability that the clinic will not have sufficient O-negative donors is 0.092 (rounded to three decimal places).

People with O-Negative Blood Are Called "Universal Donors" Because O-Negative