# Professors' Grades - Probability Exercise## Understanding Exam Score Distributions### ScenarioProfessors Wells and Zeddes have final exam scores that follow normal distributions. The key parameters for these distributions are:- Mean score for both professors: **76**- Standard deviation for Professor Wells: **10**- Standard deviation for Professor Zeddes: **5****Task**: Use probability to assess score impressiveness and discouragement.### Questions#### a. Impressive Scores**Question**: With which professor is a score greater than **90** considered more impressive? Justify using probability.- Determine the probability of scoring above **90** for each professor.- A score above **90** is more impressive with the professor where this probability is lower.**Calculations**:- Probability for Professor Zeddes: ______- Probability for Professor Wells: ______#### b. Discouraging Scores**Question**: With which professor is a score less than **62** considered more discouraging? Justify using probability.- Determine the probability of scoring below **62** for each professor.- A score below **62** is more discouraging with the professor where this probability is higher.**Calculations**:- Probability for Professor Zeddes: ______- Probability for Professor Wells: ______### Instructions- **Round** all numerical answers to **four decimal places**.- Use appropriate statistical tools or tables to find probabilities from standard normal distributions.By understanding the distribution characteristics, students can comprehend the significance of scores in relation to normal distribution and probability theory.

Let X be a random variable representing the exam scores for Professor Wells and Y be a random…

Suppose that Professors Wells and Zeddes have final exam scores that are approximately normally distributed with mean 76. The standard deviation of Wells's scores is 10 and the standard deviation of Zeddes's scores is 5. Round your numerical answers to four decimal places. a. With which professor is a score greater than 90 on the final exam more impressive? Support your answer with appropriate probability calculations. A score greater than 90 on the final exam is more impressive with Professor This is because the probability of getting a score greater than 90 in Professor Zeddes's class is and the probability of getting Score greater than 90 in Professor Wells's class is b. With which professor is a score less than 62 more discouraging? Again support your answer with the appropriate probability calculations. A score less than 62 is more discouraging with Professor 9. This is because the probability of getting score less than 62 in Professor Zeddes's class is and the probability of getting a score less than 62 in Professor Wells's class is

Suppose that Professors Wells and Zeddes have final exam scores that are approximately normally distributed with mean 76. The standard deviation of Wells's scores is 10 and the standard deviation of Zeddes's scores is 5. Round your numerical answers to four decimal places. a. With which professor is a score greater than 90 on the final exam more impressive? Support your answer with appropriate probability calculations. A score greater than 90 on the final exam is more impressive with Professor This is because the probability of getting a score greater than 90 in Professor Zeddes's class is and the probability of getting Score greater than 90 in Professor Wells's class is b. With which professor is a score less than 62 more discouraging? Again support your answer with the appropriate probability calculations. A score less than 62 is more discouraging with Professor 9. This is because the probability of getting score less than 62 in Professor Zeddes's class is and the probability of getting a score less than 62 in Professor Wells's class is

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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