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Geologists estimate the since the most cooling of a

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

Solution for problem 4E Chapter 4.3

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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Problem 4E

Geologists estimate the time since the most recent cooling of a mineral by counting the number of uranium fission tracks on the surface of the mineral. A certain mineral specimen is of such an age that there should be an average of 6 tracks per \(\mathrm{cm}^{2}\) of surface area. Assume the number of tracks in an area follows a Poisson distribution. Let \(X\) represent the number of tracks counted in 1 \(\mathrm{cm}^{2}\) of surface area.

Find

a. P(X = 7)

b. \(P(X \geq 3)\)

c. P(2 < X < 7)

d. \(\mu_{X}\)

e. \(\sigma_{X}\)

Equation Transcription:

Text Transcription:

 

cm^2

X

P(X geq 3)

mu_X

sigma_X

Step-by-Step Solution:

Solution

Step 1 of 6

Let X represents the no. of tracks

Here X follows poisson distribution with average of 6 tracks

The pmf of poisson distribution is P(X)=, X=0,1,2,..............

Here =6


Step 2 of 6

Chapter 4.3, Problem 4E is Solved
Step 3 of 6

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

This textbook survival guide was created for the textbook: Statistics for Engineers and Scientists , edition: 4. The full step-by-step solution to problem: 4E from chapter: 4.3 was answered by , our top Statistics solution expert on 06/28/17, 11:15AM. This full solution covers the following key subjects: tracks, surface, area, Mineral, geologists. This expansive textbook survival guide covers 153 chapters, and 2440 solutions. Statistics for Engineers and Scientists was written by and is associated to the ISBN: 9780073401331. Since the solution to 4E from 4.3 chapter was answered, more than 2489 students have viewed the full step-by-step answer. The answer to “?Geologists estimate the time since the most recent cooling of a mineral by counting the number of uranium fission tracks on the surface of the mineral. A certain mineral specimen is of such an age that there should be an average of 6 tracks per \(\mathrm{cm}^{2}\) of surface area. Assume the number of tracks in an area follows a Poisson distribution. Let \(X\) represent the number of tracks counted in 1 \(\mathrm{cm}^{2}\) of surface area.Finda. P(X = 7)b. \(P(X \geq 3)\)c. P(2 < X < 7)d. \(\mu_{X}\)e. \(\sigma_{X}\)Equation Transcription:Text Transcription: cm^2X P(X geq 3)mu_X sigma_X” is broken down into a number of easy to follow steps, and 95 words.

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Geologists estimate the since the most cooling of a