Question

In a certain population, one out of 25 people are color blind, on average. (a) If...

In a certain population, one out of 25 people are color blind, on average.

(a) If a random sample of 30 people is chosen, what is the probability that there is at least one color blind person?

Hint: Find the probability that none of the 30 people is color blind.

(b) Use the inclusion-exclusion formula to find the probability that in a random sample of two people (i.e., the people are independently chosen), at least one of the two is color blind.

(c) Use the inclusion-exclusion formula to find the probability that in a random sample of three people, at least one of the three is color blind.

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