NORMAL DISTRIBUTION In 2000, the average height of a woman aged 20–74 years was 64 inches with an increase ofapproximately 1 inch from 1960. Suppose the height of a woman is normally distributed with astandard deviation of two inches.What is the probability that a randomly selected woman in this population is between 64inches and 70 inches?What is the probability that one woman selected at random from this population allexceed 70 inches?a. 0.9973, 6.0942 x 10-9O b. 0.9973, 0.0228c. NONEd. 0.4987, 0.0013

Answered: In 2000, the average height of a woman…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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NORMAL DISTRIBUTION

In 2000, the average height of a woman aged 20–74 years was 64 inches with an increase of
approximately 1 inch from 1960. Suppose the height of a woman is normally distributed with a
standard deviation of two inches.
What is the probability that a randomly selected woman in this population is between 64
inches and 70 inches?
What is the probability that one woman selected at random from this population all
exceed 70 inches?
a. 0.9973, 6.0942 x 10-9
O b. 0.9973, 0.0228
c. NONE
d. 0.4987, 0.0013

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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