data performed by sociologist Andrew Beveridge suggests that differences in educ
ID: 3304521 • Letter: D
Question
data performed by sociologist Andrew Beveridge suggests that differences in educational attainment may contribute to the wage gap: 53% of women in their twenties who work full-time are college graduates, compared with only 38% of men. Alex Williams reports on how the wage shift is affecting dating dynamics in "Putting Money on the Table: With Rising Incomes, Young Women Discover the Pitfalls of DatingDon, The New York Times, September 23, 2007 Consider the experiment of randomly selecting four women in their twenties who are employed full-time and learning whether they are college graduates. Let G N college graduate, and = not a college graduate The experiment satisfies the properties of a binomial experiment. The following tree diagram will help you visualize the sample space for this experiment. First Trial Third Trial Fourth Trial Trial G, G, G, G) (G, G, G, N) G, G, N, G) 47 .47 .47 (G, N, G, G) 47(G, N, G, N) (G, N, N, G) 47 (G, N, N, N) (N, G, G, G) 47 N, G, G, N) (N, G, N, G) 47(N, G, N, N) (N, N, G, G) .47 .47 47 53 .47 (N, N, N, G) .47 .47 First, define a success. In this case, define the selection of a female employee who is a college graduate as a success. Of the_ 16 possible experimental outcomes, 6outcomes result in exactly three successes. All of the sample points with three successes have the same probability of occurrence. What is this probability? O 0.0550 0.0621 O 0.0700 O 0.1489 The probability that exactly three female employees are college graduates isExplanation / Answer
Of the 16 possible experimental outcomes, 4 outcomes results in exactly three successes. {(G,G,G,N). (G,G,N,G), (G,N,G,G), (N,G,G,G)}
All of the sample points with three successes have the same probability of occurrence.
This probability is 0.53*0.53*0.53*0.47 = 0.0700
The probability that exactly three female employees are college graduates is = 0.0700*4 = 0.28
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.