Find the corresponding area between z=0 and each of the following.

Question

1) z=1.84

2) z=-2.55

3) z=1.59

4) z=1.01

5) z=2.03

6) z=2.31

7) z=2.00

8) z=2.99

9) z=0.99

10) z=0.59

Answer 1

4) and 9) are about .68/2 = .34 = 34% using the empirical rule. Use z tables or a z calculator to get a more accurate percent, but whatever you get should be close to .34

5) and 7) are about .95/2 = ,475 = 47.5% using the empirical rule. If you do the z tables or z calculator correctly, you should get numbers close to .475

8) is about .997/2 = .4985 = 49.85% using the empirical rule. If you don't get close to that using z tables or a z calculator, you made a mistake somewhere

1) and 3) are somewhere between .34 and .475, using the empirical rule

2) and 6) are somewhere between .475 and .4985

10) is between 0 and .34. using a z calculator it = 0.2224. It's probably easier to just use a z calculator such as Desmos, than trying to use the z tables. Just plug in 0 and .59 and out pops .2224 along with a graph showing the area under the normal curve. Google "Desmos z calculator"