Math Problem Statement

Answer the following question, keeping in mind that your answer must be a number between 0 and 1, i.e., do not use percentages. Give your final answer with at least 33 dp.

Compute the probability that an observation 𝑦y drawn from a normal distribution with mean 𝜇=37.41μ=37.41 and standard deviation 𝜎=8.83σ=8.83 is greater than 52.79.

Solution

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Math Problem Analysis

Mathematical Concepts

Normal Distribution
Z-score
Cumulative Distribution Function (CDF)

Formulas

Z-score formula: Z = (y - μ) / σ
Cumulative Distribution Function for standard normal distribution

Theorems

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Suitable Grade Level

College Level