Let f (x, y) = e-®-y for x > 0 and y > 0 be a joint pdf of x and y. Prove that these two variables are independent random variables. (HINT: Review the definition of independence.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Author:Carter
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Chapter10: Statistics
Section10.1: Measures Of Center
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Let f (x, y) = e-8-Y for x > 0 and y > 0 be a joint pdf of x and y. Prove that these two
variables are independent random variables. (HINT: Review the definition of independence.)
Transcribed Image Text:Let f (x, y) = e-8-Y for x > 0 and y > 0 be a joint pdf of x and y. Prove that these two variables are independent random variables. (HINT: Review the definition of independence.)
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Based on the above information we prove that X and Y are independent random  variables.

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