From a sack of fruit containing 3 apples, 2 bananas, and 3 oranges, a random sample of 4 pieces of fruit is selected. Suppose X is the number of apples and Y is the number of bananas in the sample. (a) Find the joint probability distribution of X and Y. (b) Find P[(X,Y)EA], where A is the region that is given by {(x,y) | x+ys 1}. ... (a) Complete the joint probability distribution below. (Type integers or simplified fractions.) f(x,y) 1 3 4 y 1 2 3 4 (b) The probability is (Type an integer or a simplified fraction.)

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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From a sack of fruit containing 3 apples, 2 bananas, and 3 oranges, a random sample of 4 pieces of fruit is selected. Suppose X is the number of apples and Y is the
number of bananas in the sample.
(a) Find the joint probability distribution of X and Y.
(b) Find P[(X,Y)EA], where A is the region that is given by {(x,y) | x+ys 1}.
(a) Complete the joint probability distribution below.
(Type integers or simplified fractions.)
f(x,y)
1
3
4
y
1
2
3
4
(b) The probability is
(Type an integer or a simplified fraction.)
Transcribed Image Text:From a sack of fruit containing 3 apples, 2 bananas, and 3 oranges, a random sample of 4 pieces of fruit is selected. Suppose X is the number of apples and Y is the number of bananas in the sample. (a) Find the joint probability distribution of X and Y. (b) Find P[(X,Y)EA], where A is the region that is given by {(x,y) | x+ys 1}. (a) Complete the joint probability distribution below. (Type integers or simplified fractions.) f(x,y) 1 3 4 y 1 2 3 4 (b) The probability is (Type an integer or a simplified fraction.)
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