In: Statistics and Probability
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.