Let X have PMF P(X = k) = −p^k/(k log(1 − p)) for k = 1, 2, 3, ...,where p is a parameter such that 0 < p < 1. (Note: the terms LOOK negative, but thatrestriction on p causes the log to be negative, making the fraction positive!) This distributionis called the Logarithmic distribution, often used in ecology. Calculate the expectation of X.
Let X have PMF P(X = k) = −p^k/(k log(1 − p)) for k = 1, 2, 3, ...,where p is a parameter such that 0 < p < 1. (Note: the terms LOOK negative, but thatrestriction on p causes the log to be negative, making the fraction positive!) This distributionis called the Logarithmic distribution, often used in ecology. Calculate the expectation of X.
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter2: Exponential, Logarithmic, And Trigonometric Functions
Section2.CR: Chapter 2 Review
Problem 111CR: Respiratory Rate Researchers have found that the 95 th percentile the value at which 95% of the data...
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Let X have PMF P(X = k) = −p^k/(k log(1 − p)) for k = 1, 2, 3, ...,
where p is a parameter such that 0 < p < 1. (Note: the terms LOOK negative, but that
restriction on p causes the log to be negative, making the fraction positive!) This distribution
is called the Logarithmic distribution, often used in ecology. Calculate the expectation of X.
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