Q3// let X and Y have the joint probability distribution function as :.(x, y)(1,1)(1,2)(1,3)(2,1)(2,2)(2,3)p(x,y)2/154/153/151/151/154/15and p(x, y) is equal to zero elsewhere.a. Find the means u , µz, the variance o?, o , and the correlation coefficients p , then describe therelation between x and y.b. Compute µ2 + p(°?/o,)(x – 41)

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A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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If the joint probability distribution of X and Y is given by * x+y f(x,y) = for x = 30 0,1,2,3; y = 0,1,2. Find the marginal distribution of Y X f(x, y) 1 2 3 1 2 3 30 30 2 30 4 1 Y 30 2 30 3 30 4 30 2 30 30 30 30 Y 1 2 y 1 2 f(y) 1 1 3 f(y) 1 7 10 10 5 3 15 If none of the choices, fill the table Y 1 2 | 0 |1 |2 | 3 f(y) 1 3 f(x) - 10 3 15
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1. If the joint probability is given by: r + y f(x, y) for r = 0,1,2, 3; y = 0, 1,2, 30 Find: (a) P(Xs 2, Y = 1); (b) P(X > 2, Ys1); (c) P(X>Y ); (d) P(X + Y = 4). 2. From a sack of fruit containing 3 oranges, 2 apples, and 3 bananas, a random sample of 4 pieces of fruit is selected. If X is the number of oranges and Y is the number of apples in the sample, find: (a) the joint probability distribution of X and Y ; (b) P[(X, Y ) E A), where A is the region that is given by {(x, y) | x + ys 2}.

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Q3// let X and Y have the joint probability distribution function as : . (x, y) (1,1) (1,2) (1,3) (2,1) (2,2) (2,3) p(x,y) 2/15 4/15 3/15 1/15 1/15 4/15 and p(x, y) is equal to zero elsewhere.