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

  1. conditional probability of generating Y given N

Probability assignment (with 4 questions)

And for which z is defined as;

Probability assignment (with 4 questions) 1

Probability assignment (with 4 questions) 2

Probability assignment (with 4 questions) 3

  1. Probability of Probability assignment (with 4 questions) 4

Probability assignment (with 4 questions) 5

In which the values of z are;

Probability assignment (with 4 questions) 6

  1. Thus, the value of E(Y)

Probability assignment (with 4 questions) 7

  1. given U=X+Y and by assuming that Probability assignment (with 4 questions) 8

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Probability assignment (with 4 questions) 12

Therefore,

Probability assignment (with 4 questions) 13

And the probability distribution function is given as;

Probability assignment (with 4 questions) 14

Also, the values of u Probability assignment (with 4 questions) 15

  1. Moment of generating U,

Given U=X+Y and by assuming that Probability assignment (with 4 questions) 16

Probability assignment (with 4 questions) 17

Probability assignment (with 4 questions) 18

Probability assignment (with 4 questions) 19

Probability assignment (with 4 questions) 20

Therefore,

Probability assignment (with 4 questions) 21

And the probability distribution function is given as;

Probability assignment (with 4 questions) 22

Also, the values of t Probability assignment (with 4 questions) 23

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

Probability assignment (with 4 questions) 24

  1. Given Probability assignment (with 4 questions) 25 and by assuming that Probability assignment (with 4 questions) 26

Probability assignment (with 4 questions) 27

Probability assignment (with 4 questions) 28

Probability assignment (with 4 questions) 29

Probability assignment (with 4 questions) 30

Therefore,

Probability assignment (with 4 questions) 31

And the probability distribution function is given as;

Probability assignment (with 4 questions) 32

Also, the values of v Probability assignment (with 4 questions) 33

  1. Moment of generating U,

Given V=X+Y+Z and by assuming that Probability assignment (with 4 questions) 34

Probability assignment (with 4 questions) 35

Probability assignment (with 4 questions) 36

Probability assignment (with 4 questions) 37

Probability assignment (with 4 questions) 38

Therefore,

Probability assignment (with 4 questions) 39

Also, the values of t Probability assignment (with 4 questions) 40

  1. By use of central limit to find Probability assignment (with 4 questions) 41

Probability assignment (with 4 questions) 42

Probability assignment (with 4 questions) 43

Thus, the standard deviation =15.81

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

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