Find the following probabilities for the standard normal ran

Find the following probabilities for the standard normal random variable Z.

A.) P(Z<-1.68)

B.) P(0.26 Z 2.71)

C.) P(-2.56< Z<1.31

D.) P(-2.56< Z <1.31

Solution

using the table of normal distribution

P( z < -1.68) = 0.0465

b)

P( 0.26 < z < 2.71) = 0.3974 - 0.00336 = 0.39404

c)

P( -2.56 < z<1.31 ) = 1 - 0.00523 - 0.0951 = 0.89967

d)

P( -2.56 < z<1.31 ) = 1 - 0.00523 - 0.0951 = 0.89967