9. For a normal distribution with u = 12.8 and o = 1.35, find the probability of...a) P(x > 11) =b) P(x < 12.2) =c) P(10.5 < x < 11.2) =d) P(13.1 < x < 13.9) =

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Answered: 9. For a normal distribution with u =…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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2. If Z is a standard normal variable, find the following probabilities:a) P (Z < - 0.43) =b) P (- 0.43 < Z < 1.28) =c) P (Z > - 0.28) =
Suppose the random variable Z follows a standard normal distribution (the tabled curve). Find the chance Z is greater than 1.26. P(Z > 1.26) = Use 4 decimal places.
2. In a standard normal curve, find... a) P(Zs 2.80) = p (2.80) b) between z=-1.28 and z=-0.663B c) to the left of z=1.50;
4. If T follows a 17 distribution, find to such that (a) P(T| to) = .05.
1. Using the applications of the normal distribution, calculate by adding the corresponding graph for: a) The area under the curve to the left when z= 1.83. b) The probability for the variable z when P (-1.43 < z < .68), that is, between -1.43 and 0.68 c) Consider a mean = 1.20 and a standard deviation of 0.15; Determine the probability when 1.00 < x < 1.10, that is, between 1.0 and 1.10
Consider a normal distribution curve where 70-th percentile is at 18 and the 35-th percentile is at 1. Use this information to find the mean, μ, and the standard deviation, o, of the distribution. a) b) o=
In a standard normal distribution, P(-2.1 < Z< 1.9) = a) 0.9713 b) 0.0179 c) 0.9892 d) 0.9534
1.Which of the following statements about a standard normal variable is true? a) It has a standard deviation of zero b) The total area under the standard normal curve is sometimes approximately equal to one c) It has a mean of zero and standard deviation of one d) Most of the time, the area under the half of the standard normal curve is approximately equal to one-half 2. Which of the following does not apply to the normal distribution? a) The normal curve is unimodal (that is, it has one mode) b) The total area under the curve is equal to one c) The normal curve is symmetric about its standard deviation d) The mean and the median are equal

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9. For a normal distribution with u = 12.8 and o = 1.35, find the probability of... a) P(x > 11) =, c) P(10.5 < x< 11.2) = b) P(x < 12.2) = d) P(13.1 < x < 13.9) =