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Find the z-score that has a. An area of 0.33 to its left b. An area of 0.79 to its right

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Final answer:

The z-score with an area of 0.33 to its left is approximately -0.44, while the z-score with an area of 0.79 to its right is approximately 0.84.

Step-by-step explanation:

To find the z-score that has an area of 0.33 to its left, we can use the z-table. We look up the area of 0.33 in the z-table and find the corresponding z-score, which is approximately -0.44. Therefore, the z-score with an area of 0.33 to its left is approximately -0.44.

To find the z-score that has an area of 0.79 to its right, we can subtract 0.79 from 1 to find the area to the left of the z-score. This area is 1 - 0.79 = 0.21. Looking up the area of 0.21 in the z-table, we find the corresponding z-score to be approximately 0.84. Therefore, the z-score with an area of 0.79 to its right is approximately 0.84.

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