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Geologists estimate the since the most cooling of a
Chapter 4, Problem 4E(choose chapter or problem)
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
Questions & Answers
QUESTION:
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
ANSWER: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