..il MTS RUS 1:59 AM Question Question 20 20) In a study undertaken by Catalyst,

Question

..il MTS RUS 1:59 AM Question Question 20 20) In a study undertaken by Catalyst, 60% of women senior executives agreed that a lack of role models was a barrier to their career development. On the other hand, 36% of the senior executives in the study agreed that gender-based stereotypes were barriers to their career advancement. The study found that 15% of those executives who agreed that gender-based stereotypes were barriers to their career advancement also agreed that the lack of role models was a barrier to their career development. Suppose one of these female senior executives is randomly selected, determine the following probabilities: What is the probability that the senior executive does not agree that gender-based stereotypes were barriers to her career development given that she agrees that the lack of role models was a barrier to her career development? Numerical Answer Type your response Unanswered

Explanation / Answer

20)
A - lack of role model
B - gender-based stereotypes

P(A) = 0.60
P(B) = 0.36
P(A and B) = 0.15
P( B'|A) = P(A and B') /P(A)
= (P(A) - P(A and B)) / P(A)
= 1 - P(A and B) / P(A)
= 1 - 0.15/0.60
= 1 - 1/4
= 3/4
= 0.75

19)
P( A'|B) = P(A' and B) /P(B)
= (P(B) - P(A and B)) / P(B)
= 1 - P(A and B) / P(B)
= 1 - 0.15 /0.36
= 0.58333

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