Given a normal distribution with μ=100 andσ=10, complete parts (a) through (d). 1Click here to view page 1 of the cumulative standardized normal distribution table. 2 Click here to view page 2 of the cumulative standardized normal distribution table. PLEASE SEE THE IMAGE AND ANSWER A-D 2. Given a normal distribution with u = 100 and o = 10, complete parts (a) through (d).1 Click here to view page 1 of the cumulative standardized normal distribution table.Click here to view page 2 of the cumulative standardized normal distribution table.2a. What is the probability that X>75?The probability that X> 75 is0.9938(Round to four decimal places as needed.)b. What is the probability that X< 95?The probability that X< 95 is(Round to four decimal places as needed.)c. What is the probability that X< 85 or X> 130?The probability that X< 85 or X> 130 is(Round to four decimal places as needed.)d. 80% of the values are between what two X-values (symmetrically distributed around the mean)?80% of the values are greater thanand less than(Round to two decimal places as needed.)

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Answered: Given a normal distribution with p =…

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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Given a normal distribution with μ=100 and

σ=10, complete parts (a) through (d). 1

Click here to view page 1 of the cumulative standardized normal distribution table. 2 Click here to view page 2 of the cumulative standardized normal distribution table.

PLEASE SEE THE IMAGE AND ANSWER A-D

2. Given a normal distribution with u = 100 and o = 10, complete parts (a) through (d).
1 Click here to view page 1 of the cumulative standardized normal distribution table.
Click here to view page 2 of the cumulative standardized normal distribution table.
2
a. What is the probability that X>75?
The probability that X> 75 is
0.9938
(Round to four decimal places as needed.)
b. What is the probability that X< 95?
The probability that X< 95 is
(Round to four decimal places as needed.)
c. What is the probability that X< 85 or X> 130?
The probability that X< 85 or X> 130 is
(Round to four decimal places as needed.)
d. 80% of the values are between what two X-values (symmetrically distributed around the mean)?
80% of the values are greater than
and less than
(Round 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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