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A college professor was assigned to a committee of six people, composed of four men and two women. The committee selected two officers to carry
A college professor was assigned to a committee of six people, composed of four men and two women. The committee selected two officers to carry out the majority of its administrative work, and both of the women were selected. The professor wondered whether or not this constituted evidence of subtle discrimination, so she considered how unlikely such an event would be if the two officers had been chosen at random from the six committee members. a. Suppose the six committee members are named Alice, Bonnie, Carlos, Danny, Evan, and Frank. Put the following steps of how you might use a fair, six-sided die to simulate the random selection of two people to be officers for this committee in order. Assign each person a number. Roll the die twice to decide the committee members. Roll again until you get a unique second committee member. If you roll the same number, ignore the second roll. Question 2 (1 point) b. This simulation described in part a was carried out for a total of 60 repetitions. 9:37 P 59 O 0 O 3/13/202b. This simulation described in part a was carried out for a total of 60 repetitions. Number of women 0 2 Number of repetitions 13 41 6 In how many of these 60 repetitions did the two women end up being the officers? Question 3 (1 point) Saved What is the empirical estimate of that probability? Enter a REDUCED fraction or a decimal. A 59c. Calculate the empirical expected value for number of women in these 60 simulated pairs of officers. Round your answer to TWO decimal places. A Submit Quiz 1 of 4 questions saved O
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