The data below represents the gender and political affiliation of 100 randomly selected voters at a voting site. Suppose you select a voter at random from this sample. Answer the following questions.
Women | Men | |
Republicans | 22 | 28 |
Democrats | 23 | 14 |
Independents | 5 | 8 |
1. What is the probability that you select a man? Use cell references to find your answers.
a.Number of Men
b.Total Number of Voters
c.Probability of Selecting a Man
2. What is the probability of selecting a Democrat? Use cell references to find your answers.
a. Number of Democrats
b.Total Number of Voters
c.Probability of Selecting a Democrat
3. What is the probability that you do not select an Independent? Use cell references to find your answers.
a.Number of Independents
b.Number of Voters
c.Probability of Selecting an Independent
d.Probability of NOT Selecting an Independent
Following table shows the row total and column total:
Women | Men | Total | |
Republicans | 22 | 28 | 50 |
Democrats | 23 | 14 | 37 |
Independents | 5 | 8 | 13 |
Total | 50 | 50 | 100 |
1(a)
Number of Men: 50
(b)
Total Number of Voters: 100
(c)
Probability of Selecting a Man: 50 /100 = 0.50
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2(a)
Number of Democrats: 37
(b)
Total Number of Voters: 100
(c)
Probability of Selecting a Democrat: 37 / 100 = 0.37
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3(a)
Number of Independents: 13
(b)
Number of Voters: 100
(c)
Probability of Selecting an Independent: 13 /100 = 0.13
(d)
Probability of NOT Selecting an Independent= 1 - Probability of Selecting an Independent = 1 - 0.13 = 0.87
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