1. Suppose a researcher goes to a small college of 200 faculty,12 of which have blood type O- negative. She obtains a simple random sample of n = 20 of the faculty. Let the random variable X represent the number of faculty in the sample of size n = 20 that have blood type O-negative. a. What is the probability that 3 of the faculty have blood type O-negative? b. What is the probability that at least one of the faculty has blood type O-negative?

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19/1.This is a  Hypergeometric Distribution problem. Please solve it and make sure to solve all parts, and use the correct formulas, and provide the steps neatly. 

1. Suppose a researcher goes to a small college of 200 faculty, 12 of which have blood type O-
negative. She obtains a simple random sample of n = 20 of the faculty. Let the random variable
X represent the number of faculty in the sample of size n = 20 that have blood type O-negative.
a. What is the probability that 3 of the faculty have blood type O-negative?
b. What is the probability that at least one of the faculty has blood type O-negative?
Transcribed Image Text:1. Suppose a researcher goes to a small college of 200 faculty, 12 of which have blood type O- negative. She obtains a simple random sample of n = 20 of the faculty. Let the random variable X represent the number of faculty in the sample of size n = 20 that have blood type O-negative. a. What is the probability that 3 of the faculty have blood type O-negative? b. What is the probability that at least one of the faculty has blood type O-negative?
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