A normal distribution has meanμ=20kg and standard deviationσ=10kg. Find the z-value of each of the following. (a)x=50kg B) x=0kg C) x=58kg D) x=4kg (a) The z-value is..... B....C.....D.....(Type an integer or decimal rounded to two decimal places as needed.)

Answered: A normal distribution has mean μ=20 kg…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

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A normal distribution has mean

μ=20

kg and standard deviation

σ=10

kg. Find the z-value of each of the following.

(a)

x=50

B) x=0

C) x=58

D) x=4

(a) The z-value is.....

B....

C.....

D.....

(Type an integer or decimal rounded to two decimal places as needed.)

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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