Math Problem Statement

A distribution of values is normal with a mean of 65 and a standard deviation of 59.1. Use exact z-scores or z-scores rounded to 2 decimal places.

Find the probability that a randomly selected value is greater than 200.9. P(X > 200.9) =

Enter your answer as a number accurate to 4 decimal places.

Solution

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Math Problem Analysis

Mathematical Concepts

Probability
Normal Distribution
Z-Scores

Formulas

z = (X - μ) / σ
P(Z > z) = 1 - P(Z ≤ z)

Theorems

Empirical Rule
Standard Normal Distribution

Suitable Grade Level

Grades 10-12