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In: Statistics and Probability

Among the N=17 board members A=10 of them are also shareholders and the other N -...

Among the N=17 board members A=10 of them are also shareholders and the other N - A = 7 are non-shareholders. A committee of n=6 board members is going to be selected at random for a specific task. Use X to denote the number of board members who are also shareholders in the committee. Keep at least 4 decimal digits if the result has more decimal digits.

1. The probability that exactly 4 committee members are also shareholders is closest to

2. The probability that exactly 5 committee members are also shareholders is closest to

3. The probability that at least 5 committee members are also shareholders is closest to

4. The probability that at most 3 committee members are also shareholders is closest to

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