Solve the following 1. If the joint probability distribution of X and Yis given by x+y f(x,y) = 30 for x = 0,2,3; y = 0,1,2 Find a. P(X s 2, Y = 1); b. P(X > 2, Y < 1); c. P(X > Y);
Solve the following 1. If the joint probability distribution of X and Yis given by x+y f(x,y) = 30 for x = 0,2,3; y = 0,1,2 Find a. P(X s 2, Y = 1); b. P(X > 2, Y < 1); c. P(X > Y);
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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Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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Transcribed Image Text:Solve the following
1. If the joint probability distribution of X and Yis given by
f(x,y) = *+y
for x = 0,2,3;
y = 0,1,2
30
Find
a. P(X < 2, Y = 1);
b. P(X > 2, Y S 1);
C. P(X > Y);
d. P (X +Y = 4)
Transcribed Image Text:3. A candy company distributes boxes of chocolates with a mixture of creams, toffees,
and cordials. Suppose that the weights of the creams, toffees, and cordials vary from
box to box, let Xand Y represent the weights of the creams and toffees,
respectively, and suppose that the joint density function of these variables is
0sxs 1,0 < y < 1,
f(x,y) ={0,
(24xy,
x + y<1
elsewhere.
a. Find the probability that in a given box the cordials account for more than % of
the weight.
b. Find the marginal density for the weight for the creams.
c. Find the probability that the weight of the toffees in a box is less than 1/8 of a
kilogram if it is known that the creams constitute ¾ of the weight.
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