The weight distribution of the adult population of the town of KJH is normally distributed with a mean of 169 pounds and standard deviation 23.6 pounds. Given the information above, compute the following:The probability that a person chosen at random from this population will be heavier than 139 pounds.The probability that a person chosen from this population will be lighter than 182 pounds.The probability that a person chosen from this population will be between the weights of 182 pounds and 200 pounds.What weight separate the heavier 8% portion of the population to the rest?What weights separate the middle 86% of the population to the rest of the population?

For normal Distribution, Z=(X-μ)/σx Where, μ= mean=169 σ= Standard Deviation=23.6…

Answered: The weight distribution of the adult…

Essentials of Business Analytics (MindTap Course List)

2nd Edition

ISBN:9781305627734

Author:Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson

Publisher:Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson

Chapter2: Descriptive Statistics

Section: Chapter Questions

Problem 22P: The results of a national survey showed that on average, adults sleep 6.9 hours per night. Suppose...

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The weight distribution of the adult population of the town of KJH is normally distributed with a mean of 169 pounds and standard deviation 23.6 pounds. Given the information above, compute the following:

The probability that a person chosen at random from this population will be heavier than 139 pounds.
The probability that a person chosen from this population will be lighter than 182 pounds.
The probability that a person chosen from this population will be between the weights of 182 pounds and 200 pounds.
What weight separate the heavier 8% portion of the population to the rest?
What weights separate the middle 86% of the population to the rest of the population?

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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