Concept explainers
(a)
To Calculate: the probability that a randomly chosen student was in the bottom half of his or her high school class.
(a)
Answer to Problem 7.81RE
Explanation of Solution
Given:
Class Rank | Top 10% | Top quarter but not top 10% | Top half but not top quarter | Bottom half |
Probability | 0.3 | 0.3 | 0.3 | ? |
Calculation:
Suppose
A = top 10%
B = top quarter but not top 10%
C = top half but not quarter
D = Bottom half
The addition of all probability should be 1 or 100%
(b)
To Explain: that assign digits to represent the four possible outcomes listed.
(b)
Explanation of Solution
Given:
Class Rank | Top 10% | Top quarter but not top 10% | Top half but not top quarter | Bottom half |
Probability | 0.3 | 0.3 | 0.3 | ? |
The probability of the top 10% is 0.3; it would be expected 3 out of 10 individuals to be in the top 10%. Similarly it would be expected 3 out of 10 individuals to be in the top half but not top quarter and it would be expected 1 out of 10 individuals to be in the bottom half.
10 possible digits
Top 10%:- 0, 1, 2
Top quarter but not top 10%:- 3, 4, 5
Top half but not top quarter: - 6, 7, 8
Bottom half: - 9
Chapter 7 Solutions
Statistics Through Applications
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