Assume the random variable x is normally distributed with mean u= 85 and standard deviation o = 5. Find the indicated probability. P(x< 83) P(x< 83) = (Round to four decimal places as needed.)
Assume the random variable x is normally distributed with mean u= 85 and standard deviation o = 5. Find the indicated probability. P(x< 83) P(x< 83) = (Round to four decimal places as needed.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![### Normal Distribution Probability Calculation
Assume the random variable \( x \) is normally distributed with a mean \( \mu = 85 \) and a standard deviation \( \sigma = 5 \).
**Task:**
Find the indicated probability.
\[ P(x < 83) \]
**Instructions:**
- Round to four decimal places as needed.
- Enter your answer in the answer box provided.
### Additional Notes
This problem involves calculating the probability that a normally distributed random variable is less than a certain value. You'll likely use a standard normal distribution table or a calculator that supports normal distribution probabilities.
### Homework Sections:
- Section 7.1 Homework
- Section 7.2 Homework
Consider reviewing material covering normal distribution and z-scores to assist in solving this problem.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F69841bf7-b9f0-4fc9-8153-6ebe52f9298f%2F64d729d5-9c58-4bae-960b-6a31ee38dc77%2Fije0hjm.jpeg&w=3840&q=75)
Transcribed Image Text:### Normal Distribution Probability Calculation
Assume the random variable \( x \) is normally distributed with a mean \( \mu = 85 \) and a standard deviation \( \sigma = 5 \).
**Task:**
Find the indicated probability.
\[ P(x < 83) \]
**Instructions:**
- Round to four decimal places as needed.
- Enter your answer in the answer box provided.
### Additional Notes
This problem involves calculating the probability that a normally distributed random variable is less than a certain value. You'll likely use a standard normal distribution table or a calculator that supports normal distribution probabilities.
### Homework Sections:
- Section 7.1 Homework
- Section 7.2 Homework
Consider reviewing material covering normal distribution and z-scores to assist in solving this problem.
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