Using the TI-84 calculator, find the area under the standard normal curve. Round the answers to four decimal places.

(a) Find the area under the standard normal curve that lies between z= −2.39 and z= −1.27.

(b) Find the area under the standard normal curve that lies outside the interval between z= −1.36 and z= 1.68.

(c) Find the area under the standard normal curve to the left of z= 0.74.

(d) Find the area under the standard normal curve to the right of z= 1.17.

step-by-step explanation:

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is