distribution X Y 1 2 3 4 4 0.08 0.11 0.09 0.03 5 0.04 K 0.21 0.05 0.09 0.06 0.08 0.04

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 39E: Assume that the probability that an airplane engine will fail during a torture test is 12and that...
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Q. 3 Let X and Y be two discrete random variables with following
probability distribution
X
Y
1
2
3
4
4
0.08
0.11
0.09
0.03
5
0.04
K
0.21
0.05
6.
0.09
0.06
0.08
0.04
(i) Obtain K so that it is the joint probability mass function;
(ii) Find cumulative distribution function Fx,y(x, y);
(iii) Find the following probabilities (a) P(X < 2, Y < 3), (b)
P(XY > 18), (c) P(X+Y > 7), (e) P(X+Y < 8), (f) P(XY <
14),
(iv) Graph pdf and cdf.
Transcribed Image Text:Q. 3 Let X and Y be two discrete random variables with following probability distribution X Y 1 2 3 4 4 0.08 0.11 0.09 0.03 5 0.04 K 0.21 0.05 6. 0.09 0.06 0.08 0.04 (i) Obtain K so that it is the joint probability mass function; (ii) Find cumulative distribution function Fx,y(x, y); (iii) Find the following probabilities (a) P(X < 2, Y < 3), (b) P(XY > 18), (c) P(X+Y > 7), (e) P(X+Y < 8), (f) P(XY < 14), (iv) Graph pdf and cdf.
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