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 Probability assignment (with 4 questions)
Probability assignment (with 4 questions)
 Category:Mathematics
 Document type:Math Problem
 Level:Undergraduate
 Page:1
 Words:142
Running head: РRОBАBILITY АSSIGNMЕNT
Рrоbаbility Аssignmеnt
Рrоbаbility Аssignmеnt

conditional probability of generating Y given N
And for which z is defined as;

Probability of
In which the values of z are;

Thus, the value of E(Y)

given U=X+Y and by assuming that
Therefore,
And the probability distribution function is given as;
Also, the values of u

Moment of generating U,
Given U=X+Y and by assuming that
Therefore,
And the probability distribution function is given as;
Also, the values of t

Therefore, the expected value of u is obtained as;

Given and by assuming that
Therefore,
And the probability distribution function is given as;
Also, the values of v

Moment of generating U,
Given V=X+Y+Z and by assuming that
Therefore,
Also, the values of t

By use of central limit to find
Thus, the standard deviation =15.81
b.) Expected value of E(XY)