According to the American Red Cross, about one out of nine people in the U.S. have Type B blood. Suppose the blood types of people arriving at a blood drive are independent. In this case, the number of Type B blood types that arrive roughly follows the Poisson distribution.

Part (a)

Part (b)
What is the probability that over 12 people out of these 100 have type B blood? (Round your answer to four decimal places.)

Incorrect: Your answer is incorrect.
Part (c)
What is the probability that more than 22 people arrive before a person with type B blood is found? (Use the exponential distribution. Round your answer to four decimal places.)