Find the area under the standard normal curve to the left of z = 0.49 and to the right of z = 2.05. Round your answer to four decimal places, if necessary.

The area will be "0.7081".

According to the question,

The area under standard normal curve to left of,

To the right of,

Now,

The Area will be:

=

=

=

=

Thus the above answer is right.

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Step-by-step explanation:

We would determine the area to the left of z = 0.49 on the normal curve and subtract it from the area to the left of z = 2.05 on the normal curve

Therefore,

For z = 0.49,

Probability value = 0.6879

For z = 2.05

Probability value = 0.9798

Therefore, the area under the standard normal curve to the left of z = 0.49 and to the right of z = 2.05 is

0.9798 - 0.6879 = 0.2919

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