Question

In: Statistics and Probability

Forty percent of a firm’s employees are men. Suppose Four of the firm’s employees are randomly...

Forty percent of a firm’s employees are men. Suppose Four of the firm’s employees are randomly selected.

a. What is more likely, finding three men and one woman or two men and two women?

_The probabilities of finding three men and one woman and two men and two women are the same.

_Finding two men and two women are more likely.

_Finding three men and one woman is more likely.

b. Do you obtain the same answer as in part an if 50% of the firm’s employees had been men?

_Yes finding two men and two women is more likely.

_No finding two men and two women is more likely.

_Yes finding three men and one woman is more likely.

_Yes the probabilities of finding three men and one woman and two men and two women are the same.

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