Solution-Normal distribution tables of x and y

Normal distribution tables of x and y

Reference no: EM132461899

X and Y are two independent normal random variables, each with mean 0 and variance 1. Z=a*X + b*Y, where a and b are two real numbers. Probabilities may be computed using these normal distribution tables, the NORM.DIST function in Excel, or any other method you are comfortable with . Provide answers to each of the following calculations in your pdf file:

(a) Calculate E[Z]

(b) Calculate Var[Z]

(d) Calculate P(X>1)

(e) Calculate P(X>1 and Y<0)

Reference no: EM132461899

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Normal distribution tables of x and y

Reference no: EM132461899

Reference no: EM132461899

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