### Teachers' Salaries in North Dakota**Overview:**The average teacher's salary in North Dakota is $35,441. We assume a normal distribution with a standard deviation (σ) of $5100. All final answers should be rounded to at least 4 decimal places, and intermediate z-value calculations should be rounded to 2 decimal places.**Part 1 of 2****Question:**What is the probability that a randomly selected teacher's salary is greater than $37,000?**Mathematical Expression:**\[P(X > 37,000) = \]**Interactive Components:**- An input box for students to enter their calculated probability.- Buttons for submission and navigation to the next part of the problem.**Instructions:**1. Calculate the z-score using the formula: \[ z = \frac{X - \mu}{\sigma} \] where: - $ \mu $ is the mean salary ($35,441) - $ \sigma $ is the standard deviation ($5100) - $ X $ is the salary value in question ($37,000)2. After finding the z-score, use the z-table to find the corresponding probability.3. Subtract the z-table value from 1 to find the probability that the salary is greater than $37,000.**Submission:**An entry box is provided for the final answer, alongside navigation buttons for progressing to the next part.**Additional Features:**A "Next Part" button is included for moving on to subsequent parts of the assignment after completing this section.**Visual Aids:**No graphs or diagrams are present in this section, focusing on the calculation process. This content-setting ensures students comprehend the statistical concepts spanning normal distribution, z-scores, and probability calculations in a structured learning environment.

We have given that X~N(mu ,sigma^2) mu=35441,sigma =5100 Z-socre =(X- mu)/sigma

Teachers' Salaries in North Dakota The average teacher's salary in North Dakota is $35,441. Assume a normal distribution with o=$5100. Round the fina answers to at least 4 decimal places and round Intermediate z-value calculations to 2 decimal places. Part: 0/ 2 Part 1 of 2 What is the probability that a randomly selected teacher's salary is greater than $37,000? P (X > 37,000) =

Teachers' Salaries in North Dakota The average teacher's salary in North Dakota is $35,441. Assume a normal distribution with o=$5100. Round the fina answers to at least 4 decimal places and round Intermediate z-value calculations to 2 decimal places. Part: 0/ 2 Part 1 of 2 What is the probability that a randomly selected teacher's salary is greater than $37,000? P (X > 37,000) =

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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