Concept explainers
(a)
To find:
The probability of selected senator is a male Republican.
(a)
Answer to Problem 43E
Explanation of Solution
Given information:
The following table categorizes 100 senator individuals.
Male | Female | Total | |
Democrat | 36 | 16 | 52 |
Republican | 42 | 4 | 46 |
Independent | 2 | 0 | 2 |
Total | 80 | 20 | 100 |
A senator is selected at random from this group.
Formula Used:
Probability of an
Calculation:
The number of male Republican senators is
Therefore,
(b)
To find:
The probability of selected senator is a Democrat or a female.
(b)
Answer to Problem 43E
Explanation of Solution
Formula Used:
Probability of event A or B is given by
Calculation:
Number of Democrat is 52.
Number of female is 20.
Number of Democrat female is 16.
The number of Democrat or a female senators is,
(c)
To find:
The probability of selected senator is a Republican.
(c)
Answer to Problem 43E
Explanation of Solution
Calculation:
The number of Republican senatorsis,
Therefore,
(d)
To find:
The probability of selected senator is not a Republican.
(d)
Answer to Problem 43E
Explanation of Solution
Calculation:
The number of Republican senators is 46.
For any event
Therefore,
(e)
To find:
The probability of selected senator is a Democrat.
(e)
Answer to Problem 43E
Explanation of Solution
Calculation:
The number of Democrat senators is
Therefore,
(f)
To find:
The probability of selected senator is an Independent.
(f)
Answer to Problem 43E
Explanation of Solution
Calculation:
The number of Independent senators is,
Therefore,
(g)
To find:
The probability of selected senator is a Democrat or an Independent.
(g)
Answer to Problem 43E
Explanation of Solution
Calculation:
Number of Democrat is 52.
Number of Independent is 2.
Number of Democrat Independent is 0.
The number of Democrat or an Independent senators is
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Chapter 5 Solutions
Elementary Statistics 2nd Edition
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