Math Problem Statement

Assume the random variable x is normally distributed with mean

mu equals 50μ=50

and standard deviation

sigma equals 7σ=7.

Find the indicated probability.

Upper P left parenthesis x greater than 36 right parenthesisP(x>36)

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Part 1

Upper P left parenthesis x greater than 36 right parenthesisP(x>36)equals=enter your response here

​(Round to four decimal places as​ needed.)

Solution

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Math Problem Analysis

Mathematical Concepts

Probability
Normal Distribution
Z-scores

Formulas

z = (x - μ) / σ
P(z > z-value) = 1 - P(z ≤ z-value)

Theorems

Empirical Rule for Normal Distribution

Suitable Grade Level

Grades 10-12