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6.8. The joint probability density function of X and Y is given by f(x, y) = c(y² – a?)e -y - y

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter6: Exponential And Logarithmic Functions

Section6.8: Fitting Exponential Models To Data

Problem 56SE: Recall that the general form of a logistic equation for a population is given by P(t)=c1+aebt , such...

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6.8. The joint probability density function of X and Y is given by
f(x, y) = c(y² – a?)e
-y
- y <a < y, 0 < y < ∞
a. Find c.
b. Find the marginal densities of X and Y.
c. Find E[X].

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