Practice FT3 Q10 - Looking for a detailed, worked solution with theoretical explanation

Savannah has kept a partial printout of her Maple worksheet where see was working with a Normal distribution Y ~ N(u, 2). Unfortunately a water leak from the upstairs apartment has destroyed that part of her worksheet. > with (Statistics) ; > Y := Normal (Mean, SD) ; > OUTPUT CORRUPTED PLEASE RE-RUN MAPLE WORKSHEET f := t -> CDF (Y, t) ; > OUTPUT CORRUPTED PLEASE RE-RUN MAPLE WORKSHEET f (45 . 6) ; .9554 > f (27.2) ; .2743 Use the partial Maple output and the table below to find: E(Y) = Var(Y) = Standard normal probabilities P(Z