Math Problem Statement

Assume the random variable x is normally distributed with mean muequals89 and standard deviation sigmaequals4. Find the indicated probability. ​P(xless than84​) Question content area bottom Part 1 ​P(xless than84​)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-Score
Cumulative Probability

Formulas

Z-score formula: z = (x - mu) / sigma

Theorems

Standard Normal Distribution
Cumulative Distribution Function (CDF) for Normal Distribution

Suitable Grade Level

Grades 11-12