**Understanding Teacher Salaries: A Statistical Approach**The average annual salary for all U.S. teachers is $47,750. Assume that the distribution is normal and the standard deviation is $5,680. We are tasked with finding the probability of certain earnings for a teacher selected randomly. The answers should be rounded to at least four decimal places, with intermediate z-value calculations rounded to two decimal places.**Example Problem:**- Determine the probability of a teacher earning more than $43,000 a year.- Calculate $ P(X > 43,000) $. This exercise helps illustrate normal distribution and z-score calculations commonly encountered in statistical analysis.

It is given that Mean, μ = 47750 Standard deviation, σ = 5680 Z-Score, Z = ( X - μ )/σ

Answered: is $47,750. Assume that the…

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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is $47,750. Assume that the distribution is normal and the standard deviation is $5680. Find these probabilities of the earnings of a teacher selected randomly. Round the final answers to at least four decimal places and