Answered: Professor Zihni Sinir has 184 students…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

Professor Zihni Sinir has 184 students in his college mathematics
lecture class. The scores on the midterm exam are normally
distributed with a mean of 72.3 and a standard deviation of
8.9. How many students in the class can be expected to receive a
score between 82 and 90? Express answer to the nearest student.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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