Concept explainers
Big babies: The Centers for Disease Control and Prevention reports that 25% of baby boys 6-8 months old in the United States weigh more than 20 pounds. A sample of 150 babies is studied.
- Approximate the
probability that more than 40 weigh more than 20 pounds. - Approximate the probability that 35 or fewer weigh more than 20 pounds.
- Approximate the probability that the number who weigh more than 20 pounds is between 30 and 40, exclusive.
(a)
To find: the probability of babies who weighs more than 40.
Answer to Problem 16E
The probability of babies who weighs more than 40 is
Explanation of Solution
Given:
Babies = 150, boy baby = 25% and each baby is having 6-8 months old.
Weight of baby is 20 pounds.
Calculation:
Given that the sample size is
First Check, whether both
The mean is,
The standard deviation is,
Because, the probability is
The z score for
The required probability is,
Hence, the required answer is
Conclusion:
Therefore, the probability of babies who weighs more than 40 is
(b)
To find:the probability of babies who weighs 35 or fewer.
Answer to Problem 16E
The probability of babies who weighs 35 or fewer is
Explanation of Solution
Given:
Babies = 150, boy baby = 25% and each baby is having 6-8 months old.
Weight of baby is 20 pounds.
Calculation:
Given that the sample size is
First Check, whether both
The mean is,
The standard deviation is,
Because, the probability is
The z score for
The required probability is,
Hence, the required answer is
Conclusion:
Therefore, the probability of babies who weighs 35 or fewer is
(c)
To find:the probability of babies who weighs between 30-40.
Answer to Problem 16E
The probability of babies who weighs between 30-40is
Explanation of Solution
Given:
Babies = 150, boy baby = 25% and each baby is having 6-8 months old.
Weight of baby is 20 pounds.
Calculation:
Given that the sample size is
First Check, whether both
The mean is,
The standard deviation is,
Because, the probability is
The z score for
The z score for
The required probability is,
Hence, the required answer is
Conclusion:
Therefore, the probability of babies who weighs between 30-40is
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