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A certain type of aluminum screen 2 feet in width has, on

Probability and Statistical Inference | 9th Edition | ISBN: 9780321923271 | Authors: Robert V. Hogg, Elliot Tanis, Dale Zimmerman ISBN: 9780321923271 41

Solution for problem 6E Chapter 3.2

Probability and Statistical Inference | 9th Edition

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Probability and Statistical Inference | 9th Edition | ISBN: 9780321923271 | Authors: Robert V. Hogg, Elliot Tanis, Dale Zimmerman

Probability and Statistical Inference | 9th Edition

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Problem 6E

A certain type of aluminum screen 2 feet in width has, on the average, three flaws in a l00-foot roll.

(a) What is the probability that the first 40 feet in a roll contain no flaws?

(b) What assumption did you make to solve part (a)?

Step-by-Step Solution:
Step 1 of 3

Solution 6E

Step1 of 3:

We have aluminium screen it has width 2 feet and on the average, three flaws in a l00-foot roll.

That is x = 3 and n = 100.

We need to find,

(a) What is the probability that the first 40 feet in a roll contain no flaws?

(b) What assumption did you make to solve part (a)?

Step2 of 3:

Let “X” be random variable which follows poisson distribution with parameters .

That is X P()

The probability mass function of binomial distribution is given below

P(X) = , x =0,1,2,3,...,n.

Where,

X = random variable

n = sample size

p = probability of success(or proportion).

e = a constant it is approximately 2.7182.

Here we have mean

                                   = 0.03

Hence,   = 0.03.

Let Y = number of feet before 1st flaw

Pdf is given by

f(Y) =

 

a).

The...

Step 2 of 3

Chapter 3.2, Problem 6E is Solved
Step 3 of 3

Textbook: Probability and Statistical Inference
Edition: 9
Author: Robert V. Hogg, Elliot Tanis, Dale Zimmerman
ISBN: 9780321923271

Probability and Statistical Inference was written by and is associated to the ISBN: 9780321923271. Since the solution to 6E from 3.2 chapter was answered, more than 1204 students have viewed the full step-by-step answer. This full solution covers the following key subjects: feet, Roll, flaws, hat, DID. This expansive textbook survival guide covers 59 chapters, and 1476 solutions. The full step-by-step solution to problem: 6E from chapter: 3.2 was answered by , our top Statistics solution expert on 07/05/17, 04:50AM. This textbook survival guide was created for the textbook: Probability and Statistical Inference , edition: 9. The answer to “A certain type of aluminum screen 2 feet in width has, on the average, three flaws in a l00-foot roll.(a) What is the probability that the first 40 feet in a roll contain no flaws?(b) What assumption did you make to solve part (a)?” is broken down into a number of easy to follow steps, and 44 words.

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