Concept explainers
(a)
To explain:the reason for satisfying the requirements for a density curve
(a)
Answer to Problem 28E
As the curve is on or above the horizontal axis everywhere, and it forms a density of 1 by 1 rectangle; therefore, the area beneath the curve is 1.
Explanation of Solution
Given:
As the curve is on or above the horizontal axis everywhere, and it forms a density of 1 by 1 rectangle; therefore, the area beneath the curve is 1.
Conclusion:
Therefore the given curve satisfies the two requirements of density curve.
(b)
To find: the percent of the observations that are greater than 0.8
(b)
Answer to Problem 28E
20% of the observations lie above 0.8.
Explanation of Solution
Given:
Calculation:
The area under the uniform distribution between 0.8 and 1 is (1-0.8) × 1 = 0.2. So 20% of the observations lie above 0.8.
Conclusion:
So 20% of the observations lie above 0.8.
(c)
To find: percent of the observations lie between 0.25 and 0.75
(c)
Answer to Problem 28E
50% of the observations lie between 0.25 and 0.75.
Explanation of Solution
Given:
Calculation:
The area under the uniform distribution between 0.25 and 0.75 is (0.75 -0.25) × 1=0.5.
So 50% of the observations lie between 0.25 and 0.75.
Conclusion:
So, 50% of the observations lie between 0.25 and 0.75.
Chapter 2 Solutions
The Practice of Statistics for AP - 4th Edition
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