WORKING WOMEN, Assume that the percentage of women in the labor force of a large
ID: 3326016 • Letter: W
Question
WORKING WOMEN, Assume that the percentage of women in the labor force of a large metropolitan area is 40%. A company hires ten workers, two of whom are women. Is this likely? SIMULATE 1. Assign the digits, 0 through 9, to represent the "what' in this situation. 2. Describe how you will run the simulation using the random digit table Z5400 44375 Let's mark clearly on the random digit table information needed when carrying out the simulation with 3 runs. 3. 17868 24943 61790 90656 87964 18883 41979 83485 46816 85435 19233 95034 05756 28713 96409 12531 42544 82853 73676 47150 99400 01927 27754 42648 82425 36290 45467 71709 77558 00095 32863 29485 82226 90056 52711 38889 93074 60227 40011 85848 48767 52573 95592 94007 4. Run your simulation 20 times, recording the results in the table below 2 345 6789 1 Tally 5. What is the probability that this would occur by chance, based on your simulation? Based on your simulation, estimate the probability that this company would employ two or fewer women of ten selected, by chance? 6. Estimate the expected number of women of ten new workers this company would employ,making use of your simulation results. 7. 8. Based on your simulation, is there a potential legal batle brewing? Justify,Explanation / Answer
1) As there is a 40% chance of selecting a woman, if a digit is 0-3, it is a woman and if it is 4-9 it is a man.
2) Row 136. 86051 45093 0, 1, 0, 3 are less than 4, so there are 4 women.
20021 98648 2, 0, 0, 2, 1 are less than 4, so there are 5 women.
23900 49375 2, 3, 0, 0, 3 are less than 4, so there are 5 women.
3) On average, there are (5+5+4)/3 = 14/3 women.
4) 71435 51648 1, 3, 1 are less than 4, so there are 3 women
89675 97778 theer are no numbers less than 4, so there are 0 women.
99624 89697 2 is below 4 so there is 1 number less than , so there is 1 woman.
The average number of women is (3+0+1)/3 = 4/3
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