Obtain K so that it is the joint probability mass function;

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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(i) Attempt the following questions. Show all necessary steps. Read
the questions carefully. (ii) Any copied material from internet or
your class fellows will get you ZERO marks.
Q. 1 Let X be the number of bugs in the first draft of a piece of software,
and let Y be the number of bugs remaining in the second draft of the same
software. Their joint probability mass function is given by the following
table:
Y
0.
1
3
0.
0.03
0.14
0.09
0.08
1
0.05
0.10
K
0.04
0.04
0.09
0.08
0.09
(i) Obtain K so that it is the joint probability mass function;
(ii) Find cumulative distribution function Fyy (x, y);
(iii) Find the following probabilities using cdf obtained above (a) P(X <
3, Y < 2), (b) P(XY > 4), (c) P(X + Y > 3), (e) P(X < 3,Y < 2)
21
Transcribed Image Text:(i) Attempt the following questions. Show all necessary steps. Read the questions carefully. (ii) Any copied material from internet or your class fellows will get you ZERO marks. Q. 1 Let X be the number of bugs in the first draft of a piece of software, and let Y be the number of bugs remaining in the second draft of the same software. Their joint probability mass function is given by the following table: Y 0. 1 3 0. 0.03 0.14 0.09 0.08 1 0.05 0.10 K 0.04 0.04 0.09 0.08 0.09 (i) Obtain K so that it is the joint probability mass function; (ii) Find cumulative distribution function Fyy (x, y); (iii) Find the following probabilities using cdf obtained above (a) P(X < 3, Y < 2), (b) P(XY > 4), (c) P(X + Y > 3), (e) P(X < 3,Y < 2) 21
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