a.
To find: The probability that the examined man have both high blood pressure and high cholesterol.
The probability that the examined man have both high blood pressure and high cholesterol is 0.25.
Given:
Blood Pressure | Cholesterol | Total | ||
High | OK | |||
High | 22 | 12 | 34 | |
OK | 6 | 48 | 54 | |
Total | 28 | 60 | 88 |
Calculation:
There are 22 men having both high blood pressure and high cholesterol out of 88 men.
Therefore, the probability that the examined man have both high blood pressure and high cholesterol is
b.
To find: The probability that a man with high blood pressure had high cholesterol.
The probability that a man with high blood pressure had high cholesterol is 0.647.
Given:
Blood Pressure | Cholesterol | Total | ||
High | OK | |||
High | 22 | 12 | 34 | |
OK | 6 | 48 | 54 | |
Total | 28 | 60 | 88 |
Calculation:
There are 22 men having high blood pressure out of 34 men having high blood pressure.
Therefore, the probability that a man with high blood pressure had high cholesterol is
c.
To check: Whether the events of having high blood pressure and having high cholesterol independent.
No.
Given:
Blood Pressure | Cholesterol | Total | ||
High | OK | |||
High | 22 | 12 | 34 | |
OK | 6 | 48 | 54 | |
Total | 28 | 60 | 88 |
Calculation:
The overall rate of high cholesterol is,
But it was 64.7% among men with high blood pressure.
Hence, the events of having high blood pressure and having high cholesterol are not independent.
Chapter 10 Solutions
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