A program consists of two modules. Let X and Y be the number of of errors respectively in the first module and in the second module. (X, Y) joint distribution function is given below. f(x.y) y-0y=1 y=2 x=0 0.52 c x=1 0.14 0.02 0.01 x=2 0.06 0.01| 0 0.04

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1. A program consists of two modules. Let X and Y be the number of of errors respectively in
the first module and in the second module. (X, Y) joint distribution function is given below.
f(x,y) y=0y=1 y=2
x=0 0.52 c
x=1 0.14 0.02 0.01
x=2 0.06 0.010
0.04
a) Find c.
b) Compute the probability of at least 3 error in program.
c) Find marjinal distribution of x.
d) Find expected value for X.
e) For Z= 3X+2 find E[Z].
f) Are X and Y independent? Explain your answer.
Transcribed Image Text:1. A program consists of two modules. Let X and Y be the number of of errors respectively in the first module and in the second module. (X, Y) joint distribution function is given below. f(x,y) y=0y=1 y=2 x=0 0.52 c x=1 0.14 0.02 0.01 x=2 0.06 0.010 0.04 a) Find c. b) Compute the probability of at least 3 error in program. c) Find marjinal distribution of x. d) Find expected value for X. e) For Z= 3X+2 find E[Z]. f) Are X and Y independent? Explain your answer.
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