Math Problem Statement

Find the indicated​ z-scores shown in the graph.

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z=?z=?0x0.02810.0281

A normal curve is over a horizontal x-axis and is centered on 0. Vertical line segments extend from the curve to the horizontal axis at two points labeled z = ? each. The areas under the curve and to the left of the left vertical line segment and to the right of the right vertical line segment are shaded and labeled 0.0281 each.

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Part 1

The​ z-scores are

enter your response here.

​(Use a comma to separate answers as needed. Round to two decimal places as​ needed.)

Solution

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Math Problem Analysis

Mathematical Concepts

Statistics
Normal Distribution
z-scores
Probability

Formulas

z-score calculation from cumulative probability

Theorems

Properties of the standard normal distribution
Symmetry of the normal curve

Suitable Grade Level

Grades 10-12