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Below is the frequency distribution of scores on a mathematics placement test ta

ID: 3046124 • Letter: B

Question

Below is the frequency distribution of scores on a mathematics placement test taken by 100 freshman entering a small college. Decide which probability rule to use, calculate the probability, and then answer the question.

X f

25 4

24 4

23 6

22 8

21 8

20 12

19 20

18 14

17 10

16 8

15 6

d. There are an equal number of men and women in each frequency. For example, for a score of 19, there were 10 men and 10 women. What is the probability (as a proportion) of drawing a student at random and having them be either a woman or someone who scored 20?

Explanation / Answer

What is the probability (as a proportion) of drawing a student at random and having them be either a woman or someone who scored 20?

Probability = Number of women or score 20 / [Total] =[ [100-12 }/ 2+ 12 ]/100=[ 44+12 ]/100=0.56

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