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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

What is the approximate area of the unshaded region under the standard normal curve-example-1
User Tohiko
by
8.5k points

2 Answers

3 votes

Answer:

86%

Explanation:

User Panosru
by
8.7k points
3 votes

Answer:

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

User Redwan
by
7.8k points

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