A September 2021 CNN article on equality and representation of women in the workplace reported that “at the start of 2021, 41% of manager positions were held by women”. Suppose a random sample of twenty companies are selected and it is recorded if the manager position is held by a woman. Let X be the number in the sample that are women. a) How many manager positions in the sample are expected to be held by women?

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A September 2021 CNN article on equality and representation of women in the
workplace reported that “at the start of 2021, 41% of manager positions were held by women”.
Suppose a random sample of twenty companies are selected and it is recorded if the manager
position is held by a woman. Let X be the number in the sample that are women.

a) How many manager positions in the sample are expected to be held by women?




b) What is the probability that exactly half of the manager positions sampled are held by
women? 

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