Let z be the standard normal distribution with the expected value of µ = 0 and the standard deviation ofσ = 1. For each of the following questions sketch the region on the under the curve and use a standard normaldistribution table or your calculator to answer find the probability Name and section:1. Let z be the standard normal distribution with the expected value of u = 0 and the standard deviation ofo = 1. For each of the following questions sketch the region on the under the curve and use a standard normaldistribution table or your calculator to answer find the probability.(a) P(z<-1.5)(c) P(-1.5 < z < 1.5)3-2-1123-3-2-113(b) P(z < 1.5)(d) P(2< z)-3-2-1123-3-2-11

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Answered: 1. Let z be the standard normal…

MATLAB: An Introduction with Applications

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ISBN:9781119256830

Author:Amos Gilat

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Let z be the standard normal distribution with the expected value of µ = 0 and the standard deviation of
σ = 1. For each of the following questions sketch the region on the under the curve and use a standard normal
distribution table or your calculator to answer find the probability

Name and section:
1. Let z be the standard normal distribution with the expected value of u = 0 and the standard deviation of
o = 1. For each of the following questions sketch the region on the under the curve and use a standard normal
distribution table or your calculator to answer find the probability.
(a) P(z<-1.5)
(c) P(-1.5 < z < 1.5)
3
-2
-1
1
2
3
-3
-2
-1
1
3
(b) P(z < 1.5)
(d) P(2< z)
-3
-2
-1
1
2
3
-3
-2
-1
1

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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