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 thenumber 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)134y1234(b) The probability is(Type an integer or a simplified fraction.)

Answered: From a sack of fruit containing 3…

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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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 ) ∈ A], where A is the region that is given by {(x, y) | x + y ≤ 2}.
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}.
The joint probability function of two discrete random variables X and Y is given by Ax,y) = c(2x+y), where x and y can assume all integers such that 0< x
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In a box of gadgets containing 3 Samsung phones, 2 iPhones, and 3 Google Pixelphones, a random sample of 4 phones is selected. If X is the number of Samsung phonesand Y is the number of iPhones in the sample, a. the joint probability distribution table of X and Y;b. P[(X, Y ) ∈ A], where A is the region that is given by {(x, y) | x + y ≤ 2}.c. f(y|x=2) for all values of y (tabulate);d. P(X = 0 | Y = 2).
In a box of gadgets containing 3 Samsung phones, 2 iPhones, and 3 Google Pixel phones, a random sample of 4 phones is selected. If X is the number of Samsung phones and Y is the number of iPhones in the sample, find: a. the joint probability distribution table of X and Y;b. P[(X, Y ) ∈ A], where A is the region that is given by {(x, y) | x + y ≤ 2}.c. f(y|x=2) for all values of y (tabulate);d. P(X = 0 | Y = 2).
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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: a. Find the joint probability distribution function(x,y). b. Create the joint probability distribution table for X and Y. c.Find P [(X, Y) € A], where A is the region that is given by {(x,y)/ x + y < 2 } . d.Find f(x/y) where x = 1 and y =2.

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