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• Describe how the values of u and o affect the graph of the normal distribution.

• Describe how the values of u and o affect the graph of the normal distribution.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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7. Characteristics of normal distribution functions • Describe how the values of u and o affect the graph of the normal distribution. • The graph of a normal distribution is For example, -shaped and is symmetry about — Р(и — 2 < Х) — Р(X < и +2) - P(-0 < X < o0) = 1 - P(X > x) = 1-P(X <x) for any value r. • An inflection point of a curve is a point on the curve where • Every normal curve has its inflection points at exactly on each side of the mean. From this property, we can estimate the locations of the values of the random variable 1 standard deviation away from the mean. ....standard deviation • Empirical Rule (a) P(µ – o < X <µ +o) = (b) (c) Above empirical rule holds for all normal distributions with different means and standard deviations. For example, if X - N (4, 2) and Y ~ N(50,3), then P(4 – 2 < X < 4 + 2) = P(50 – 3 < Y < 50 + 3) z 0.68 • Draw below the graph of a normal distribution function with µ and o and mark all values u, σ, μ41. σ, μ # 1. σ, and μ +3 -σ on the r-axis:
Transcribed Image Text:7. Characteristics of normal distribution functions • Describe how the values of u and o affect the graph of the normal distribution. • The graph of a normal distribution is For example, -shaped and is symmetry about — Р(и — 2 < Х) — Р(X < и +2) - P(-0 < X < o0) = 1 - P(X > x) = 1-P(X <x) for any value r. • An inflection point of a curve is a point on the curve where • Every normal curve has its inflection points at exactly on each side of the mean. From this property, we can estimate the locations of the values of the random variable 1 standard deviation away from the mean. ....standard deviation • Empirical Rule (a) P(µ – o < X <µ +o) = (b) (c) Above empirical rule holds for all normal distributions with different means and standard deviations. For example, if X - N (4, 2) and Y ~ N(50,3), then P(4 – 2 < X < 4 + 2) = P(50 – 3 < Y < 50 + 3) z 0.68 • Draw below the graph of a normal distribution function with µ and o and mark all values u, σ, μ41. σ, μ # 1. σ, and μ +3 -σ on the r-axis:
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