Final answer:
To find the probability that at least 3 of the random sample of 10 have Type O blood, we can use the binomial probability formula. We calculate the probability for each case and sum them up to get the total probability.
Step-by-step explanation:
To find the probability that at least 3 of the random sample of 10 have Type O blood, we need to consider the probability of having exactly 3, 4, 5, 6, 7, 8, 9, or 10 individuals with Type O blood in the sample.
We can use the binomial probability formula to calculate the probability for each individual case and then add them together to get the total probability.
Probability of having exactly k individuals with Type O blood:
P(k) = (10 choose k) * (0.45)^k * (0.55)^(10-k)
Then, we can sum up the probabilities:
P(at least 3) = P(3) + P(4) + P(5) + P(6) + P(7) + P(8) + P(9) + P(10)
Calculating these probabilities will give us the probability that at least 3 of the random sample of 10 have Type O blood.