# Question: In a study undertaken by Catalyst 43 of women senior

In a study undertaken by Catalyst, 43% of women senior executives agreed or strongly agreed that a lack of role models was a barrier to their career development.

In addition, 46% agreed or strongly agreed that gender-based stereotypes were barriers to their career advancement. Suppose 77% of those who agreed or strongly agreed that gender-based stereotypes were barriers to their career advancement agreed or strongly agreed that the lack of role models was a barrier to their career development. If one of these female senior executives is randomly selected, determine the following probabilities:

a. What is the probability that the senior executive does not agree or strongly agree that a lack of role models was a barrier to her career development given that she does agree or strongly agree that gender-based stereotypes were barriers to her career development?

b. What is the probability that the senior executive does not agree or strongly agree that gender-based stereotypes were barriers to her career development given that she does agree or strongly agree that the lack of role models was a barrier to her career development?

c. If it is known that the senior executive does not agree or strongly agree that gender-based stereotypes were barriers to her career development, what is the probability that she does not agree or strongly agree that the lack of role models was a barrier to her career development?

In addition, 46% agreed or strongly agreed that gender-based stereotypes were barriers to their career advancement. Suppose 77% of those who agreed or strongly agreed that gender-based stereotypes were barriers to their career advancement agreed or strongly agreed that the lack of role models was a barrier to their career development. If one of these female senior executives is randomly selected, determine the following probabilities:

a. What is the probability that the senior executive does not agree or strongly agree that a lack of role models was a barrier to her career development given that she does agree or strongly agree that gender-based stereotypes were barriers to her career development?

b. What is the probability that the senior executive does not agree or strongly agree that gender-based stereotypes were barriers to her career development given that she does agree or strongly agree that the lack of role models was a barrier to her career development?

c. If it is known that the senior executive does not agree or strongly agree that gender-based stereotypes were barriers to her career development, what is the probability that she does not agree or strongly agree that the lack of role models was a barrier to her career development?

**View Solution:**## Answer to relevant Questions

In a manufacturing plant, machine A produces 10% of a certain product, machine B produces 40% of this product and machine C produces 50% of this product. Five percent of machine A products are defective, 12% of machine B ...Use the values in the cross-tabulation table to solve the equations given.a. P(F ∩ A) = _____b. P(A | B) = _____c. P(B) = _____d. P(E ∩ F) = _____e. P(D | B) = _____f. P(B | D) = _____g. P(D | C) = _____h. P(F) =_____A telephone survey conducted by the Maritz Marketing Research Company found that 43% of Americans expect to save more money next year than they saved last year. Forty-five percent of those surveyed plan to reduce debt next ...A survey by the Arthur Andersen Enterprise Group/National Small Business United attempted to determine what the leading challenges are for the growth and survival of small businesses. Although the economy and finding ...Solve the following problems by using the binomial tables.a. If n = 20 and p = .50, find P(x = 12).b. If n = 20 and p = .30, find P(x > 8).c. If n = 20 and p = .70, find P(x < 12).d. If n = 20 and p = .90, find P(x ≤ ...Post your question