3. Suppose a survey is taken of 30 managers of Whole Foods Market stores and it is determined that 17 are at least 40 years old.

a) If another researcher randomly selects 10 of these 30 managers to interview, what is the probability that 3 or fewer are at least 40 years old?

b) Suppose 9 of the 30 surveyed managers are female. What is the probability of randomly selecting 10 managers from the 30 and finding out that 7 of the 10 are female?

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