**Exhibit 6-4**The starting salaries of individuals with an MBA degree are normally distributed with a mean of $40,000 and a standard deviation of $5,000.**Question 8:**Refer to Exhibit 6-4. What is the probability that a randomly selected individual with an MBA degree will get a starting salary of at least $47,500?- ○ .5000- ○ .9332- ○ .4332- ○ .0668**Explanation:**To solve this problem, we need to use the properties of the normal distribution. The question asks for the probability that a salary $ X $ is at least $47,500:1. **Calculate the Z-score**: \[ Z = \frac{X - \text{mean}}{\text{standard deviation}} \] where: - $ X = 47,500 $ - mean = 40,000 - standard deviation = 5,0002. **Interpret the Z-score**: The Z-score tells you how many standard deviations the value is from the mean.3. **Probability Calculation**: Use the Z-score to find the probability from the standard normal distribution table (or a calculator with normal distribution functions).4. **Select the Correct Answer**: Compare the calculated probability to the choices provided.

Let X be the starting salaries of individuals with an MBA degree X~N(μ=40000, σ=5000)

Answered: Exhibit 6-4 The starting salaries of…

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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