Answer:

1.) The area above z=1.46 can be found using a standard normal distribution table or calculator. Using a calculator, we can use the standard normal cumulative distribution function with a lower bound of 1.46 to find the area:

P(Z > 1.46) = 0.0721

Graphically, the area above z=1.46 is represented by the shaded region in the following image:


2.) The area between z=0.65 and z=1.13 can also be found using a standard normal distribution table or calculator. Using a calculator, we can subtract the area to the left of z=0.65 from the area to the left of z=1.13 to find the area in between:

P(0.65 < Z < 1.13) = P(Z < 1.13) - P(Z < 0.65) = 0.8708 - 0.2578 = 0.6130

Graphically, the area between z=0.65 and z=1.13 is represented by the shaded region in the following image:


3.) The area to the left of z=-1.8 can also be found using a standard normal distribution table or calculator. Using a calculator, we can use the standard normal cumulative distribution function with a lower bound of -1.8 to find the area:

P(Z < -1.8) = 0.0359

Graphically, the area to the left of z=-1.8 is represented by the shaded region in the following image:


In probability notation, the answers are:

1.) P(Z > 1.46) = 0.0721

2.) P(0.65 < Z < 1.13) = 0.6130

3.) P(Z < -1.8) = 0.0359