Math Problem Statement

Find the percent of area under a normal curve between the mean and the given number of standard deviations from the mean. The table provided lists areas under the standard normal curve (Z-table).

Solution

The image you uploaded contains two pages from a standard normal distribution table, also known as the Z-table. This table provides the area (or probability) under the normal curve corresponding to specific Z-scores. The value in the table represents the area under the curve to the left of a given Z-score.

Would you like help with:

  1. Understanding how to use the table?
  2. Finding the area for a specific Z-score?
  3. Calculating the probability for a range of Z-scores?
  4. Interpreting a specific problem using this table?
  5. Rounding probabilities to a specific decimal place?

Tip: When using a Z-table, always determine whether you're looking for the area to the left or right of a given Z-score, as the table typically only gives the area to the left.

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Math Problem Analysis

Mathematical Concepts

Statistics
Normal Distribution
Z-scores

Formulas

Z-score formula: Z = (X - μ) / σ

Theorems

Empirical Rule
Properties of Normal Distribution

Suitable Grade Level

Grades 9-12 and above

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Finding the Area Under the Standard Normal Curve from 0 to 0.84

Find the Area Under the Standard Normal Curve Between z = 0 and z = 1.86

Finding the Area under the Standard Normal Curve to the Left of z = 1.00

Find Areas Under the Normal Curve Using Z-scores

Standard Normal Distribution: Area to the Left of Z = -1.50