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Get Full Access to Probability And Statistics For Engineers And The Scientists - 9 Edition - Chapter 3 - Problem 34e
Get Full Access to Probability And Statistics For Engineers And The Scientists - 9 Edition - Chapter 3 - Problem 34e

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# Suppose that the number of plants of a particular type ISBN: 9780321629111 32

## Solution for problem 34E Chapter 3

Probability and Statistics for Engineers and the Scientists | 9th Edition

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Problem 34E

Suppose that the number of plants of a particular type found in a rectangular sampling region (called a quadrat by ecologists) in a certain geographic area is an rv X with pmf Is E(X) finite? Justify your answer (this is another distribution that statisticians would call heavy-tailed).

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Answer : Step 1 : Suppose that the number of plants of a particular type found in a rectangular sampling region (called a quadrat by ecologists) in a certain geographic area is an rv X with pmf. Yes.E (X) is finite. The explanation is E(X) = xp(x = n) x=1 E(X) = x c x3 x=1 c E(X) = x2 x=1 E(X) = c 12,, ut it is a well-known result from the theory of infinite series that x=1 x 1 x2 < x=1 So E(X) is finite.

Step 2 of 1

##### ISBN: 9780321629111

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