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 = 0 and z = 1.63?

Answer 1

44.84%

Step-by-step explanation:

To find the percent of the area under the normal curve between z = 0 and z = 1.63, we need to calculate the following probability

P(0 < z < 1.63)

So, we can sketch the normal curve as follows

Then, using the standard normal curve, we get

P(0 < z < 1.63) = P(z < 1.63) - P(z < 0)

P(0 < z < 1.63) = 0.9484 - 0.5

P(0 < z < 1.63) = 0.4484

Then, the percentage is 44.84%