Letzbe a random variable with a standard normal distribution. Find the indicated probability. (Round your answer to four decimal places.)

P(z2.72) =

P(z2.13) =

P(1.83z1.10) =

P(0.72z3.24)=

Assume thatxhas a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.)

=39;=14

P(50x70) =

=15.0;=2.8

P(8x12) =

=113;=14

P(x90) =

Findzsuch that97.5%of the standard normal curve lies to the left ofz. (Round your answer to two decimal places.)

z=

Findzsuch that65%of the standard normal curve lies to the right ofz. (Round your answer to two decimal places.)

z=

Findzsuch that93.7%of the standard normal curve lies to the right ofz. (Round your answer to two decimal places.)

z=

Find thezvalue such that86%of the standard normal curve lies betweenzandz. (Round your answer to two decimal places.)

z=