Birth Length (Example 6) According to National Vital Statistics, the average length of a newborn baby is 19.5 inches with a standard deviation of 0.9 inch. The distribution of lengths is approximately Normal. Use a table or technology for each question. Include an appropriately labeled and shaded Normal curve for each part. There should be three separate curves. a. What is the probability that a baby will have a length of 20.4 inches or more? b. What is the probability that a baby will have a length of 21.4 inches or more? c. What is the probability that a baby will have a length of 18 and 21 inches in length?
Birth Length (Example 6) According to National Vital Statistics, the average length of a newborn baby is 19.5 inches with a standard deviation of 0.9 inch. The distribution of lengths is approximately Normal. Use a table or technology for each question. Include an appropriately labeled and shaded Normal curve for each part. There should be three separate curves. a. What is the probability that a baby will have a length of 20.4 inches or more? b. What is the probability that a baby will have a length of 21.4 inches or more? c. What is the probability that a baby will have a length of 18 and 21 inches in length?
Solution Summary: The author calculates the probability that a baby will be of length of 20.4 inches or more and shows it on the standard normal curve.
Birth Length (Example 6) According to National Vital Statistics, the average length of a newborn baby is 19.5 inches with a standard deviation of 0.9 inch. The distribution of lengths is approximately Normal. Use a table or technology for each question. Include an appropriately labeled and shaded Normal curve for each part. There should be three separate curves.
a. What is the probability that a baby will have a length of 20.4 inches or more?
b. What is the probability that a baby will have a length of 21.4 inches or more?
c. What is the probability that a baby will have a length of 18 and 21 inches in length?
Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.
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