Question

Find the area under the standard normal curve to the left of z=−2.94 and to the right of z=−2.28. Round your answer to four decimal places, if necessary.

Answer 1

Answer:

The area under the standard normal curve to the left of z=−2.94 and to the right of z=−2.28 is 0.9903 square units.

Step-by-step explanation:

We need to find the area under the standard normal curve to the left of z=−2.94 and to the right of z=−2.28.

The standard normal table represents the area under the curve.

$P(z-2.28)=P(z-2.28)$          .....(1)

According to the standard normal table, we get

$P(z$

$P(z>-2.28)=1-P(z$

Substitute these values in equation (1).

$P(z-2.28)=0.0016+0.98807=0.9903$

Therefore the area under the standard normal curve to the left of z=−2.94 and to the right of z=−2.28 is 0.9903 square units.