Question

About 45% of the population of the United States and Canada have Type O blood. If a random sample of 10 people is selected, what is the probability that exactly 5 have Type O blood?

Answer 1

The probability that exactly 5 out of 10 randomly selected people have Type O blood is 0.2627.

Step-by-step explanation:

To find the probability that exactly 5 out of 10 people have Type O blood, we can use the binomial probability formula. Let's define success as having Type O blood, so the probability of success is 0.45. Since the question asks for exactly 5 successes, we plug in n=10, p=0.45, and k=5 into the formula:

P(X = k) = C(n, k) * p^k * (1-p)^(n-k)

P(X = 5) = C(10, 5) * 0.45^5 * (1-0.45)^(10-5) = 0.2627