Concept explainers
High blood pressure: The National Health and Nutrition Survey reported that 30% of adults in the United States have hypertension (high blood pressure). A sample of 25 adults is studied.
What is the probability that exactly 6 of them have hypertension?
What is the probability that more than 8 have hypertension?
What is the probability that fewer than 4 have hypertension?
Would it be unusual if more than 10 of them have hypertension?
What is the
What is the standard deviation of the number who have hypertension in a sample of 25 adults?
(a)
To find: The probability that exactly
Answer to Problem 37E
The probability that exactly
Explanation of Solution
Given:
Adults having hypertension in US-
Calculation:
Here,
Probability of binomial distribution is,
Hence, theprobability that exactly
Conclusion:
Therefore, the probability that exactly
(b)
To find: The probability that more than
Answer to Problem 37E
The probability that more than
Explanation of Solution
Calculation:
Here,
Probability of binomial distribution is,
Hence, theprobability that more than
Conclusion:
Therefore, the probability that more than
(c)
To find: The probability that fewer than
Answer to Problem 37E
The probability that fewer than
Explanation of Solution
Calculation:
Here,
Probability of binomial distribution is,
Hence, theprobability that fewer than
Conclusion:
Therefore, the probability that fewer than
(d)
To find: Whether it is unusual if more than
Answer to Problem 37E
It is not unusual if more than
Explanation of Solution
Calculation:
Here,
The obtained probability is not so low. Hence, it is not unusual if more than
Conclusion:
Therefore, itis not unusual if more than
(e)
To find: The mean value.
Answer to Problem 37E
The mean valueis
Explanation of Solution
Calculation:
To calculate the mean value for persons having hypertension is computed below.
Hence, the mean valueis
Conclusion:
Therefore, the mean valueis
(f)
To find: The standard deviation.
Answer to Problem 37E
The standard deviation valueis
Explanation of Solution
Calculation:
To calculate the standard deviation value for persons having hypertension is computed below.
Hence, the standard deviation valueis
Conclusion:
Therefore, the standard deviation valueis
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