O 1.) 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) EA], 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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O 1.) 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) EA], where A is the region that is given
by {x, y) | x + y< 2}.
Transcribed Image Text:O 1.) 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) EA], where A is the region that is given by {x, y) | x + y< 2}.
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