Concept explainers
a.
To show:that the probabilities is a legitimate
a.
Explanation of Solution
Given:
Census bureo allows each person to choose from a long list of races.probabilities is a legitimate probability distribution
If it choose U.S. at random the census bureo given these following probabilities:
Hispanic | Not Hispanic | |
Asian | 0.001 | 0.044 |
Black | 0.006 | 0.124 |
white | 0.139 | 0.674 |
Others | 0.003 | 0.009 |
Calculation:
All probabilities have to be between 0 and 1 (including 0 and 1 also).
Thus, the condition is satisfied.
The sum of all probabilities has to be equal to 1:
Since both condition are satisfied, the assign of probabilities is a legitimate probability distribution.
b.
To find:the probabilitythat a randomly chosen American is Hispanic.
b.
Answer to Problem 5CRE
Explanation of Solution
Given:
Census bureo allows each person to choose from a long list of races.probabilities is a legitimate probability distribution.
If it choose U.S. at random the census bureo given these following probabilities:
Hispanic | Not Hispanic | |
Asian | 0.001 | 0.044 |
Black | 0.006 | 0.124 |
white | 0.139 | 0.674 |
Others | 0.003 | 0.009 |
Calculation:
The probability of being Hispanic is the sum of all probabilities of being Hispanic for each race:
c.
To find: the probability that a randomly chosen American is not a member of this group.
c.
Answer to Problem 5CRE
Explanation of Solution
Given:
Calculation:
Complement rule:
Then determine the probability of randomly selecting an American that does not belong to the group “Not Hispanic and White”.
d.
To prove: the given equation. Also, to find
d.
Answer to Problem 5CRE
Explanation of Solution
Given:
The given equation is “
Calculation:
As the
The probability of being Hispanic is the sum of all probabilities of being white for and not Hispanic:
The probability of being Hispanic is the sum of all probabilities of being white for Hispanic and not Hispanic:
From table,
Thus, it obtained:
Chapter 5 Solutions
The Practice of Statistics for AP - 4th Edition
Additional Math Textbook Solutions
Statistics for Business and Economics (13th Edition)
Basic Business Statistics, Student Value Edition (13th Edition)
Statistical Reasoning for Everyday Life (5th Edition)
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