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Answer:
0.0185 = 1.85% probability that 5 randomly selected blood donors in NYC all have Group O blood.
Step-by-step explanation:
For each donor, there are only two possible outcomes. Either they have type O blood, or they do not. The donors are selected randomly, which means that the probability of a donor having type A blood is independent from other donors. So we use the binomial probability distribution to solve this problem.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
In New York City, 45% of all blood donors have type O blood.
This means that .
Find the probability that 5 randomly selected blood donors in NYC all have Group O blood.
This is when
. So
0.0185 = 1.85% probability that 5 randomly selected blood donors in NYC all have Group O blood.