Question

What is the approximate area of the unshaded region under the standard normal curve below? Use the portion of the standard normal table given to help answer the question.

z
Probability
0.00
1.00
2.00
3.00
Probability
0.5000
0.8413
0.9772
0.9987

Answer 1

86%

Explanation:

Answer 2

The area is:

`P = 0.8641`

Explanation:

The area under the standard normal curve equals the z probability.

We look for the area of the region that is not shaded.

That is, we look:

`P = 1- P(1 <z <2)`

Then we must find

`P(1 <z <2) = P(z< 2)- P(z<1)`

Looking in the standard normal probability table we have to:

`P(z< 1)= 0.8413`

`P (z <2) = 0.9772`

So:

`P(1 <z <2) =0.9772- 0.8413 \\\\P(1 <z <2) = 0.1359`

`P = 1-0.1359`

`P = 0.8641`