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Probability
Find: (a) P(X ≤ 2, Y = 1); (b) P(x > 2, Y ≤ 1); (c) P(X>Y);

Find: (a) P(X ≤ 2, Y = 1); (b) P(x > 2, Y ≤ 1); (c) P(X>Y);

A First Course in Probability (10th Edition)
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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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}.
Transcribed Image Text: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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