Question

Solve the following problems. Include the sketch of a normal curve and in finding the area refer on the standard normal curve table.What percent if the area under the normal curve between z = -2.10 and z = 2.10?

Answer 1

96.42%

Step-by-step explanation:

We need to find the following probability

P(-2.10 < z < 2.10)

Which is the percent of the area under the normal curve between -2.10 and 2.10.

Now, we can sketch the normal curve as

Now, we can find the probability using the standard normal curve table as

P(-2.10 < z < 2.10) = P(z < 2.10) - P(z < -2.10)

P(-2.10 < z < 2.10) = 0.9821 - 0.0179

P(-2.10 < z < 2.10) = 0.9642

Therefore, the percentage of the curve is 96.42%