# Probability assignment (with 4 questions)

• Category:
Mathematics
• Document type:
Math Problem
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1
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142

Рrоbаbility Аssignmеnt

Рrоbаbility Аssignmеnt

1. conditional probability of generating Y given N

And for which z is defined as;

1. Probability of

In which the values of z are;

1. Thus, the value of E(Y)

1. given U=X+Y and by assuming that

Therefore,

And the probability distribution function is given as;

Also, the values of u

1. 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

1. Therefore, the expected value of u is obtained as;

1. Given and by assuming that

Therefore,

And the probability distribution function is given as;

Also, the values of v

1. Moment of generating U,

Given V=X+Y+Z and by assuming that

Therefore,

Also, the values of t

1. By use of central limit to find

Thus, the standard deviation =15.81

b.) Expected value of E(X|Y)