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The random variable X has a range of {0, 1, 2}, and the random variable Y has a range of (1, 2). The joint distribution of X and Y is given by Table 7.14. Table 7. 14 Joint Probability Table for Exercise 3 Y 1 2 0.10 0.30 1 0.05 0.25 2 0.13 0.17 a. Find the marginal distributions of X and of Y b. Find the conditional distribution of X given that Y = 2. c. Compute E(X) and E(Y).

The random variable X has a range of {0, 1, 2}, and the random variable Y has a range of (1, 2). The joint distribution of X and Y is given by Table 7.14. Table 7. 14 Joint Probability Table for Exercise 3 Y 1 2 0.10 0.30 1 0.05 0.25 2 0.13 0.17 a. Find the marginal distributions of X and of Y b. Find the conditional distribution of X given that Y = 2. c. Compute E(X) and E(Y).

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 22E
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The random variable X has a range of {0, 1, 2), and the random variable Y has a range of {1, 2}. The joint distribution of X and Y is given by Table 7.14. Table 7. 14 Joint Probability Table for Exercise 3 ... Y 1 2 0.10 0.30 1 0.05 0.25 2 0.13 0.17 a. Find the marginal distributions of X and of Y b. Find the conditional distribution of X given that Y = 2. c. Compute E(X) and E(Y). d. Compute E(XY).
Transcribed Image Text:The random variable X has a range of {0, 1, 2), and the random variable Y has a range of {1, 2}. The joint distribution of X and Y is given by Table 7.14. Table 7. 14 Joint Probability Table for Exercise 3 ... Y 1 2 0.10 0.30 1 0.05 0.25 2 0.13 0.17 a. Find the marginal distributions of X and of Y b. Find the conditional distribution of X given that Y = 2. c. Compute E(X) and E(Y). d. Compute E(XY).
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