Standard Normal Distribution Consider the standard normal di

Standard Normal Distribution.

Consider the standard normal distribution and answer the following. Solve for z: P(Z>z) = 27% Solve for z: P(-1 5

Solution

a) P(Z > z) = 0.27

or, P(Z < z) = 1 - 0.27

or, P(Z < z) = 0.73

or, z = 0.61 (Ans)

b) P(-1.5 < Z < z) = 0.62

or, F(z) - F(-1.5) = 0.62

or, F(z) = 0.62 + 0.0668

or, F(z) = 0.6868

or, z = 0.49      (Ans)

c) P(Z > 1) = 1 - P(Z<1)

                 = 1 - 0.8413

                 = 0.1587

d) Mean value of Z is zero.