Question

8. People with type O-negative blood are universal donors. That is, any patient can receive a transfusion of O-negative blood. Only 7.2% of the American population has O-negative blood. If 10 people appear at random to give blood, what is the probability that at least 1 of them is a universal donor?

Answer 1

The probability that at least 1 of the population of America is has a blood group of O-negative and are universal donor when 10 people appear at random to give blood is 0.526.

What is the probability?

Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.

People with type O-negative blood are known as the universal donors, which means any patient can receive a transfusion of O⁻ blood from the donors.

Only 7.2% of the population of America has O-negative blood group. Thus, the probability of this population to donate blood is,

$P=\dfrac{7.2}{100}\\P=0.072$

The probability of  population to be not O-negative,

$P^{-1}=1-0.072\\P^{-1}=0.928$

The 10 people appear at random to give blood. The probability of at least 1 of them is a universal donor is,

$P{\text { at least 1 }}=1-(0.928)^{10}\\P{\text { at least 1 }}=0.526$

Thus, the probability that at least 1 of the population of America is has a blood group of O-negative and are universal donor when 10 people appear at random to give blood is 0.526.

Learn more about the probability here;

https://brainly.com/question/24756209

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