For each of the following first draw a standard normal distr

For each of the following, first draw a standard normal distribution curve and shade the area that corresponds to the probability then find the following probability:

a. P(0 < z < 2.27)

b. P(z < -2.05)

c. P(-1.13 < z < 2.34)

Solution

a)

P( 0 < z < 2.27 ) = 0.5 - 0.0116 = 0.4884

b)

P( z < -2.05) = 0.0202

c)

P( - 1.13 < z < 2.34 ) = 1 - [0.1292+0.00964]

P( - 1.13 < z < 2.34 ) = 0.86116