. Given Z~(0,1).

Question

(a)Calculate p (z> 2.37)

(b)Calculate P (-1.28<z<1.28)

(c) Find z1 given P( Z < z1) =.4562

Answer 1

a) P(z > 2.37) = P(z < -2.37) = 0.0089 (because the normal distribution is symmetric)

b) P(-1.28 < z < 1.28) = P(z < 1.28) - P(z < -1.28) = 0.8997 - 0.1003 = 0.7994

c) z corresponding to 0.4562 is -1.01.