For a standard normal distribution determine the probability

For a standard normal distribution, determine the probability that z is less than or equal to 1.56.

For a standard normal distribution find the probability that z is between 0.31 and 2.12.

For a standard normal distribution determine the probability that z is greater than -0.38.

For a standard normal distribution, determine the probability the z is between -1.66 and 0.19

Solution

using normal distribution tables

a)

Z < 1.56 = 1 - 0.0594 = 0.9406

b)

0.31 < z < 2.12 = 0.3783 - 0.0170 = 0.3613

c)

Z > -0.38 = 1 - 0.3520 =0.648

d)

-1.66 < z < 0.19 = 1 -0.0485 -0.4247 =0.5268