Assume the random variable x is normally distributed with mean μ = 84 and standard deviation o = 4. Find the indicated probability. P(x<82) P(x<82) = (Round to four decimal places as needed.)
Assume the random variable x is normally distributed with mean μ = 84 and standard deviation o = 4. Find the indicated probability. P(x<82) P(x<82) = (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**
In this exercise, we are assuming that the random variable \( x \) follows a normal distribution with a mean (\( \mu \)) of 84 and a standard deviation (\( \sigma \)) of 4. We aim to find the probability that \( x \) is less than 82, denoted as \( P(x < 82) \).
**Task:**
Find \( P(x < 82) \) and round the answer to four decimal places if necessary.
**Solution Field:**
\[ P(x < 82) = \ \boxed{\phantom{0}} \]
*Note: Use appropriate statistical tools or tables to calculate the exact probability value.*
**Additional Information:**
On the bottom right of the screen, there is a timer indicating the remaining time for this task: 03:19:51. Click "Next" when you have completed the task.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F275f078e-e6df-4549-aae8-3195dc20960c%2Fd15debe0-31ae-423b-a5df-7321730fb966%2F6dy573do_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Normal Distribution Probability Calculation**
In this exercise, we are assuming that the random variable \( x \) follows a normal distribution with a mean (\( \mu \)) of 84 and a standard deviation (\( \sigma \)) of 4. We aim to find the probability that \( x \) is less than 82, denoted as \( P(x < 82) \).
**Task:**
Find \( P(x < 82) \) and round the answer to four decimal places if necessary.
**Solution Field:**
\[ P(x < 82) = \ \boxed{\phantom{0}} \]
*Note: Use appropriate statistical tools or tables to calculate the exact probability value.*
**Additional Information:**
On the bottom right of the screen, there is a timer indicating the remaining time for this task: 03:19:51. Click "Next" when you have completed the task.
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