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

=4;=2

P(3x7) = ______________

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

=24;=3.6

P(x30) =______________

3.). Findzsuch that87.7%of the standard normal curve lies to the left ofz. (Enter a number. Round your answer to two decimal places.)

z=

Sketch the area described. (Select the correct graph.)

Sketch the area described. (Select the correct graph.) Z 0 O Z 0 0 Z This is a graph of a standard normal distribution with z to the right of zero. The area under the curve to the left of z is shaded. 0 Z