Math Problem Statement

Compare what you get for P(> b) 2-score: Z = \frac{72 - 69}{3} = 1 5 From the standard normal table, P(Z < 1) lapprox 0.8413 6 So, P(X > 72) = 1 - 0.8413 = 0.1587 Draw the normal distributions (using the same scale on the x-axis (so the distributions should be getting narrower) and shade in the area corresponding to P(> b)

Solution

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Math Problem Analysis

Mathematical Concepts

Statistics
Probability
Normal Distribution

Formulas

Z = (X - μ) / σ
P(X > b) = 1 - P(Z < b)

Theorems

Central Limit Theorem
Standard Normal Distribution

Suitable Grade Level

Grades 10-12