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 + y < 2}.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 31E
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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 + y < 2}.
Transcribed Image Text: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 + y < 2}.
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