Concept explainers
a.
To construct: The histogram to make the comparison of X and Y. Also, discuss the difference that could be observed in these two distributions.
a.
Explanation of Solution
Given:
The probability distributions are:
1 | 2 | 3 | 4 | 5 | 6 | 7 | |
Household probability | 0.25 | 0.32 | 0.17 | 0.15 | 0.07 | 0.03 | 0.01 |
Family probability | 0 | 0.42 | 0.23 | 0.21 | 0.09 | 0.03 | 0.02 |
Formula used:
The formulas to compute the mean and standard deviation are:
Graph:
The histograms could be constructed as:
Interpretation:
By looking at the above graph it could be said that both the distribution are skewed to the right.
b.
To find: The mean for both the distribution and compare them.
b.
Explanation of Solution
Calculation:
The mean for both the distributions using Ti-83 plus calculator could be calculated as:
For household
For family:
Thus, the mean is 2.6 and 3.14 respectively.
c.
To find: The standard deviations for both the distributions.
c.
Explanation of Solution
From above part, it is known that the standard deviations of household and family are 1.4213 and 1.292.
Chapter 6 Solutions
The Practice of Statistics for AP - 4th Edition
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Basic Business Statistics, Student Value Edition
Fundamentals of Statistics (5th Edition)
Intro Stats, Books a la Carte Edition (5th Edition)
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