×
Log in to StudySoup
Get Full Access to Statistics - Textbook Survival Guide
Join StudySoup for FREE
Get Full Access to Statistics - Textbook Survival Guide

The morality of a solution in defined to be the number of

Statistics for Engineers and Scientists | 4th Edition | ISBN: 9780073401331 | Authors: William Navidi ISBN: 9780073401331 38

Solution for problem 22E Chapter 4.5

Statistics for Engineers and Scientists | 4th Edition

  • Textbook Solutions
  • 2901 Step-by-step solutions solved by professors and subject experts
  • Get 24/7 help from StudySoup virtual teaching assistants
Statistics for Engineers and Scientists | 4th Edition | ISBN: 9780073401331 | Authors: William Navidi

Statistics for Engineers and Scientists | 4th Edition

4 5 1 395 Reviews
27
4
Problem 22E

The morality of  a solution in defined to be the number  of moles of solute per liter of solution (1 mole=6.02×1023 molecules).if X is the morality of a solution of  sodium choride(NaCl),and Y is the morality of  a solution of sodium carbonate (Na2CO3) the morality of sodium ion (Na+),in a solution made of equal parts NaCl and Na2CO3 is given by M=0.5X+Y. Assume X and Y are independent and normally distributed, and that X has mean 0.450 and standard deviation 0.050,and Y has mean 0.025.

a.         What is the distribution of M?

b.         Find P(M >0.5)

Step-by-Step Solution:
Step 1 of 3

Solution 22E

Step1 of 3:

We have random variable X it presents the morality of a solution of  sodium chloride(NaCl) and another random variable Y presents the the morality of  a solution of sodium carbonate

(). Let us assume that X and Y are independent and normally distributed, here X has mean and standard deviationand Y has meanand standard

deviation  M is solution made of equal parts NaCl and That is

M = 0.5X + Y.

Here our goal is:

a).We need to find the distribution of M.

b).we need to find P(M > 0.5).

Step2 of 3:

a).

As per the given information we assume that X and Y are independent and normally distributed so, as per the property of normal distribution that is “Linear combination of independent and normally distributed variables is also normally distributed.” 

Therefore, X and Y are independent and normally distributed hence M is also normally distributed.

That is MN(, )

Where,

1).= E(M)

      Substitute M value in above equation we get

= E(0.5X+Y)

        = 0.5E(X) + E(Y)

       = 0.5+

       = 0.5(0.450) + 0.250

       = 0.225 + 0.250

       = 0.475

        Hence, = 0.475.

2).=...

Step 2 of 3

Chapter 4.5, Problem 22E is Solved
Step 3 of 3

Textbook: Statistics for Engineers and Scientists
Edition: 4
Author: William Navidi
ISBN: 9780073401331

This full solution covers the following key subjects: solution, Morality, sodium, nacl, mean. This expansive textbook survival guide covers 153 chapters, and 2440 solutions. Since the solution to 22E from 4.5 chapter was answered, more than 331 students have viewed the full step-by-step answer. The answer to “The morality of a solution in defined to be the number of moles of solute per liter of solution (1 mole=6.02×1023 molecules).if X is the morality of a solution of sodium choride(NaCl),and Y is the morality of a solution of sodium carbonate (Na2CO3) the morality of sodium ion (Na+),in a solution made of equal parts NaCl and Na2CO3 is given by M=0.5X+Y. Assume X and Y are independent and normally distributed, and that X has mean 0.450 and standard deviation 0.050,and Y has mean 0.025.a. What is the distribution of M?________________b. Find P(M >0.5)” is broken down into a number of easy to follow steps, and 94 words. This textbook survival guide was created for the textbook: Statistics for Engineers and Scientists , edition: 4. The full step-by-step solution to problem: 22E from chapter: 4.5 was answered by , our top Statistics solution expert on 06/28/17, 11:15AM. Statistics for Engineers and Scientists was written by and is associated to the ISBN: 9780073401331.

Unlock Textbook Solution

Enter your email below to unlock your verified solution to:

The morality of a solution in defined to be the number of

×
Log in to StudySoup
Get Full Access to Statistics - Textbook Survival Guide
Join StudySoup for FREE
Get Full Access to Statistics - Textbook Survival Guide
×
Reset your password