X is normally distributed with a mean of 100 and standard deviation of 5. What is the probability that an event is greater than 90?

Question

X is normally distributed with a mean of 100 and standard deviation of 5. What is the probability that an event is greater than 90?
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Solution 1

To solve this problem, we need to use the concept of Z-score in statistics. The Z-score is a measure of how many standard deviations an element is from the mean.

Step 1: Calculate the Z-score for the value 90. The formula for the Z-score is:

Z = (X - μ) / σ

where: X is the value from the dataset Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

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