Let X and Y have a trinomial distribution with n = 2, pX =

Chapter 4, Problem 5E

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QUESTION:

Let \(X\) and \(Y\) have a trinomial distribution with \(n=2, p_{X}=1 / 4\), and \(p_{Y}=1 / 2\).

(a) Give \(E(Y \mid x)\).

(b) Compare your answer in part (a) with the equation of the line of best fit in Example 4.2-2. Are they the same? Why or why not?

Equation Transcription:


Text Transcription:

X  

Y  n=2, p_X=1/4  

p_Y=1/2  

E(Y∣x)

Questions & Answers

QUESTION:

Let \(X\) and \(Y\) have a trinomial distribution with \(n=2, p_{X}=1 / 4\), and \(p_{Y}=1 / 2\).

(a) Give \(E(Y \mid x)\).

(b) Compare your answer in part (a) with the equation of the line of best fit in Example 4.2-2. Are they the same? Why or why not?

Equation Transcription:


Text Transcription:

X  

Y  n=2, p_X=1/4  

p_Y=1/2  

E(Y∣x)

ANSWER:

Step 1 of 5 :

We have that X and Y have the trinomial distribution with n=2, p(X)=and p(Y)=.

The joint probability mass function of x and Y is given as

f(x,y)=

         =:0


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