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Get Full Access to Statistics For Engineers And Scientists - 4 Edition - Chapter 4.3 - Problem 4e
Get Full Access to Statistics For Engineers And Scientists - 4 Edition - Chapter 4.3 - Problem 4e

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# Geologists estimate the since the most cooling of a ISBN: 9780073401331 38

## Solution for problem 4E Chapter 4.3

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

Step 3 of 6

##### 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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