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Statistics / Probability and Statistical Inference 9 / Chapter 4.3 / Problem 4.3-10

Probability and Statistical Inference | 9th Edition | ISBN: 9780321923271 | Authors: Robert V. Hogg, Elliot Tanis, Dale Zimmerman

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Let fX (x) = 1/10, x = 0, 1, 2, ... , 9, and h(y

Chapter 4, Problem 4.3-10

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QUESTION:

Let fX (x) = 1/10, x = 0, 1, 2, ... , 9, and h(y | x) = 1/(10 x), y = x, x + 1, ... , 9. Find (a) f(x, y). (b) fY (y). (c) E(Y | x).

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QUESTION:

Let fX (x) = 1/10, x = 0, 1, 2, ... , 9, and h(y | x) = 1/(10 x), y = x, x + 1, ... , 9. Find (a) f(x, y). (b) fY (y). (c) E(Y | x).

ANSWER:

Step 1 of 5

The marginal probability mass function of is defined as

The conditional probability mass function of is defined as

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