Assume that the random variable X is normally distributed with mean μ = 120 and standard deviation σ = 13. Find P(110 < X < 145).

Question

Assume that the random variable X is normally distributed with mean μ = 120 and standard deviation σ = 13. Find P(110 < X < 145).
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Solution 1

To solve this problem, we need to convert the raw scores to z-scores and then use the standard normal distribution to find the probabilities.

Step 1: Convert the raw scores to z-scores. The formula for converting a raw score x to a z-score is z = (x - μ) / σ.

For x = 110, the z-score is z = (110 - Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv

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