rom a sack of fruit containing 3 bananas​, 3 apples​, and 3 oranges​, a random sample of 4 pieces of fruit is selected. Suppose X is the number of bananas and Y is the number of apples in the sample. ​(a) Find the joint probability distribution of X and Y. ​(b) Find ​P[(X,Y)∈​A], where A is the region that is given by {(x,y) | x+y≤3}

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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From a sack of fruit containing 3 bananas​, 3 apples​, and 3 oranges​, a random sample of 4 pieces of fruit is selected. Suppose X is the number of bananas and Y is the number of apples in the sample. ​(a) Find the joint probability distribution of X and Y. ​(b) Find ​P[(X,Y)∈​A], where A is the region that is given by {(x,y) | x+y≤3}.

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