Concept explainers
(a)
To find: the probability that a man has both conditions.
(a)
Answer to Problem 9E
0.11
Explanation of Solution
Given:
Blood Pressure | |||
High | Ok | ||
Cholesterol | High | 0.11 | 0.21 |
Ok | 0.16 | 0.52 |
Calculation:
Blood Pressure | ||||
Cholesterol | High | OK | Total | |
High | 0.11 | 0.21 | 0.32 | |
OK | 0.16 | 0.52 | 0.68 | |
Total | 0.27 | 0.73 | 1 |
Probability that man has both high cholesterol and high blood pressure is 0.11
(b)
To find: the probability that a man has high blood pressure.
(b)
Answer to Problem 9E
0.27
Explanation of Solution
Given:
Blood Pressure | |||
High | Ok | ||
Cholesterol | High | 0.11 | 0.21 |
Ok | 0.16 | 0.52 |
Calculation:
Blood Pressure | ||||
Cholesterol | High | OK | Total | |
High | 0.11 | 0.21 | 0.32 | |
OK | 0.16 | 0.52 | 0.68 | |
Total | 0.27 | 0.73 | 1 |
Probability that man has high blood pressure is 0.27.
(c)
To find: the probability that a man with high blood pressure has high cholesterol.
(c)
Answer to Problem 9E
0.407
Explanation of Solution
Given:
Blood Pressure | |||
High | Ok | ||
Cholesterol | High | 0.11 | 0.21 |
Ok | 0.16 | 0.52 |
Calculation:
Blood Pressure | ||||
Cholesterol | High | OK | Total | |
High | 0.11 | 0.21 | 0.32 | |
OK | 0.16 | 0.52 | 0.68 | |
Total | 0.27 | 0.73 | 1 |
Required probability
There is 41% possibility that selection of man with high blood pressure has high cholesterol too.
(d)
To find: the probability that a man has high blood pressure if it’s known that he has high cholesterol.
(d)
Answer to Problem 9E
0.344
Explanation of Solution
Given:
Blood Pressure | |||
High | Ok | ||
Cholesterol | High | 0.11 | 0.21 |
Ok | 0.16 | 0.52 |
Calculation:
Blood Pressure | ||||
Cholesterol | High | OK | Total | |
High | 0.11 | 0.21 | 0.32 | |
OK | 0.16 | 0.52 | 0.68 | |
Total | 0.27 | 0.73 | 1 |
Required probability
P (high blood pressure | high cholesterol)
There is 34% possibility that selection of man with high blood pressure has cholesterol too.
Chapter 15 Solutions
Stats: Modeling the World Nasta Edition Grades 9-12
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