Question

Sketch the area under the standard normal curve over the indicated interval and find the specified area. (Round your answer to four decimal places.) The area to the right of z = 1.62 is__________________.

Answer 1

`P\left ( z>1.62 \right )=0.0526`

Explanation:

The required shaded area is shown in the below figure. The probability that Z > 1.62 is equal to the blue area under the curve. To find the area above 1.62, first we will find the area below 1.62. Use the standard normal table to find the area below 1.62. We conclude that the white area = 0.9474

Blue area = 1 - white area = 1 - 0.9474 = 0.0526

And the required area is

`P\left ( z>1.62 \right )=1-P\left ( z<1.62 \right )=1-0.9474=0.0526`