Question

If Y is distributed N(1,4), find Pr(Y>0).

Answer 1

Y follows Normal with mean = and variance =

Standard deviation =

                                   z is standard normal variable

                       = P(z > -0.5)

                       = 1 - P(z < -0.5)

                       = 1 - 0.3085              (From statistical table of negative z values)

                      = 0.6915

P(Y > 0) = 0.6915