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Calculate the area under the normal curve between z = -2.02 and z = 1.68.

User Winny
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Final answer:

To find the area under the normal curve between z = -2.02 and z = 1.68, consult a Z-table to get the areas to the left of each z-score and subtract the smaller area from the larger one. The result gives the area between the two z-scores.

Step-by-step explanation:

The student is asking how to calculate the area under the normal curve between the z-scores of -2.02 and 1.68. To find this, we use a Z-table, which provides the area to the left of a given z-score. First, we find the area to the left of z = 1.68 and then the area to the left of z = -2.02. The difference between these two areas will give us the area between the two z-scores.

For z = 1.68, suppose that the area to the left is A1, and for z = -2.02, let's say the area to the left is A2. The area under the curve between the z-scores is A1 - A2. If we assume or find from a Z-table that A1 is 0.9535 and A2 is 0.0217, then the area between z = -2.02 and z = 1.68 is 0.9535 - 0.0217, which equals 0.9318.

User Kofi Sammie
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