Find the area under the standard normal curve to the left of z=0.49

and to the right of z=1.91
. Round your answer to four decimal places, if necessary.

1 answer

To find the area under the standard normal curve to the left of z=0.49, we need to use a standard normal distribution table or a calculator.

The area to the left of z=0.49 is the same as the area between z=0 and z=0.49. From the standard normal distribution table, we find that the area to the left of z=0.49 is approximately 0.6861.

Next, to find the area under the standard normal curve to the right of z=1.91, we need to find the area between z=1.91 and z=0. Since the total area under the standard normal curve is 1, the area to the right of z=1.91 is 1 - the area to the left of z=1.91.

From the standard normal distribution table, we find that the area to the left of z=1.91 is approximately 0.9713. So the area to the right of z=1.91 is 1 - 0.9713 = 0.0287.

Therefore, the area under the standard normal curve to the left of z=0.49 is approximately 0.6861 and the area to the right of z=1.91 is approximately 0.0287.