Answered: 1. Given z follows a standard normal…

1. Given z follows a standard normal distribution, use the Tables and Excel to determine the following: a. Prob(z<2.8) b. Prob(z<1.8) C. Prob(z<0.8) d. Prob(z<-0.2) e. Prob(z<-1.2)

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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Question

100%

Due September 30, 2021
Please show all calculations and Excel printouts with codes
. Given z follows a standard normal distribution, use the Tables and Excel to
determine the following:
a. Prob(z<2.8)
b. Prob(z<1.8)
C. Prob(z<0.8)
d. Prob(z<-0.2)
e. Prob(z<-1.2)
2. Given that z follows a standard normal distribution, use the Tables and Excel tO
determine the following:
a. Prob(z>2.3)
b. Prob(z>1.3)
c. Prob(z>0.3)
d. Prob(z>-0.7)
e. Prob(z>-1.7)
3. Given that z follows a standard normal distribution, use the Tables and Excel to
determine the following:
a. Prob(2.9>z>2.1)
b. Prob(1.9>z>1.1)
C. Prob(0.9>z>-1.1)
d. Prob(-0.3>z>-1.1)
e. Prob(-1.3>z>-2.1)
4. Given that x follows a normal distribution with mean of 55 and standard deviation
of 12, use the Tables and Excel to determine the following:
a. Prob(x<90)
b. Prob(x<71)
C. Prob(x<57)
d. Prob(x<42)
e. Prob(x<25)
5. Given that x follows a normal distribution with mean of 7 and standard deviation
of 20, use the Tables and Excel to determine the following:
Prob(x>30)
b. Prob(x>9)
C. Prob(x>2)
d. Prob(x>-12)
e. Prob(x>-29)
a.

Expert Solution

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Question 1) Solution:

Let Z be the standard normal variable with mean 0 and standard deviation 1.

$Z ~ (0, 1)$

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