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Answer the folowing questions :- 1. In the [-1.2] range a uniform random X variable is...

Answer the folowing questions :-

1. In the [-1.2] range a uniform random X variable is given,
    when Y=x^2+1   transformation is done , what is The expected value of Y , E[Y] .

2. A continuous X variable is the Poisson distribution , if The quadratic expected value of this distribution is E[X^2] =4 what is the variance of this distribution ،var(x) .

Math   Statistics-And-Probability   
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Answer #1

1. Expected value of Y is 2, i.e. E(Y)= 2

2. Var(X)= 1.5615

Complete solution is given in attached images:

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