A is a standard normal random variable.   If A=a, and B is a normal random variable with parameters (2a,1),   i) What is the distribution of B?   ii) Find E(B) and Var(B)   iii) Assuming B= 1234, what is the distribution of A?   iv) Given that B=1234

MATLAB: An Introduction with Applications
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A is a standard normal random variable.

 

If A=a, and B is a normal random variable with parameters (2a,1),

 

i) What is the distribution of B?

 

ii) Find E(B) and Var(B)

 

iii) Assuming B= 1234, what is the distribution of A?

 

iv) Given that B=1234, find E(X|B=1234) and Var(X|B=1234)

 

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