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Let Z~N(0, 1). Find a constant c for whicha. P(Z? c) =

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

Solution for problem 3E Chapter 4.5

Statistics for Engineers and Scientists | 4th Edition

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

Statistics for Engineers and Scientists | 4th Edition

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1
Problem 3E

Let Z~N(0, 1). Find a constant c for which

a. P(Z≥ c) = 0.1587

b. P(c ≤ Z ≤ 0) = 0.4772

c. P(‒c ≤ Z ≤ c) = 0.8664

d. P(0 ≤ Z ≤ c) = 0.2967

e. P(|Z| ≥ c) = 0.1470

Step-by-Step Solution:

Solution :

Step 1 of 5:

Given ZN(0,1)

Our goal is:

a). We need to find c, P(Zc)=0.1587

b). We need to find c, .

c). We need to find c, .

d). We need to find c,

e). We need to find c,

Now we have to calculate c value.

a).

Given, P(Zc)=0.1587.

Here we have to find c value.

P(Zc)=1-P(Zc)

P(Zc)=1-P(Zc)

P(Zc)= 0.1587

P(Zc)=1-0.1587

P(Zc)=0.8413

From the area under the normal table P(Z1)=0.8413.

Therefore c =1.


Step 2 of 5

Chapter 4.5, Problem 3E is Solved
Step 3 of 5

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

This full solution covers the following key subjects: constant, Find, let. This expansive textbook survival guide covers 153 chapters, and 2440 solutions. This textbook survival guide was created for the textbook: Statistics for Engineers and Scientists , edition: 4. Since the solution to 3E from 4.5 chapter was answered, more than 495 students have viewed the full step-by-step answer. Statistics for Engineers and Scientists was written by and is associated to the ISBN: 9780073401331. The full step-by-step solution to problem: 3E from chapter: 4.5 was answered by , our top Statistics solution expert on 06/28/17, 11:15AM. The answer to “Let Z~N(0, 1). Find a constant c for whicha. P(Z? c) = 0.1587________________b. P(c ? Z ? 0) = 0.4772________________c. P(?c ? Z ? c) = 0.8664________________d. P(0 ? Z ? c) = 0.2967________________e. P(|Z| ? c) = 0.1470” is broken down into a number of easy to follow steps, and 39 words.

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Let Z~N(0, 1). Find a constant c for whicha. P(Z? c) =