I need help with subcategory d please. I figured out the others. Given a normal distribution with u= 100 ando = 10, complete parts (a) through (d).E 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 tablea. What is the probability that X> 95?The probability that X > 95 is 0.6915(Round to four decimal places as needed.)b. What is the probability that X < 80?The probability that X< 80 is 0.0228(Round to four decimal places as needed.)c. What is the probability that X < 70 or X> 110?The probability that X<70 or X> 110 is 0.1601(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 jand less than:(Round to two decimal places as needed.)IN1Ja(8,4)MoreEnter your answer in the edit fields and then click Check Answer.All parts showingClear AllCheck Answere Type here to search

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Description: I need help with subcategory d please. I figured out the others. Given a normal distribution with u= 100 ando = 10, complete parts (a) through (d).E Click here to view page 1 of the cumulative standardized normal distribution table.: Click here to v

Answered: d. 80% of the values are between what…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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I need help with subcategory d please. I figured out the others.

Given a normal distribution with u= 100 ando = 10, complete parts (a) through (d).
E 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
a. What is the probability that X> 95?
The probability that X > 95 is 0.6915
(Round to four decimal places as needed.)
b. What is the probability that X < 80?
The probability that X< 80 is 0.0228
(Round to four decimal places as needed.)
c. What is the probability that X < 70 or X> 110?
The probability that X<70 or X> 110 is 0.1601
(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 jand less than:
(Round to two decimal places as needed.)
IN1
Ja
(8,4)
More
Enter your answer in the edit fields and then click Check Answer.
All parts showing
Clear All
Check Answer
e Type here to search

Expert Solution

Step 1

Let $x_{1}$ and $x_{2}$ are the two values.

The two X values of 80% area is,

$\begin{array}{rcl} P (x_{1} < x < x_{2}) & = & 0.80 \\ P (\frac{x_{1} - 100}{10} < \frac{x - μ}{σ} < \frac{x_{2} - 100}{10}) & = & 0.80 \\ P (\frac{x_{1} - 100}{10} < z < \frac{x_{2} - 100}{10}) & = & 0.80 \end{array}$

For two values;

$\begin{array}{rcl} (1 - α) & = & 0.80 \\ α & = & 0.20 \\ \frac{α}{2} & = & 0.10 \\ 1 - \frac{α}{2} & = & 0.90 \end{array}$

The probability 0.90 would be converted to z score can be obtained using the excel formula “=NORM.S.INV(0.90)”. The z score value is 1.28155.

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