Answered: Question 1: Professor Harde assumes…

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 1:

Professor Harde assumes that exam scores are normally distributed and wants to grade "on the curve." The mean score was 57, with a standard deviation of 13. (Round your answers to the nearest whole number.)

(a) If she wants 19% of the students to receive an A, find the minimum score to receive an A.

(b) If she wants 27% of the students to receive a B, find the minimum score to receive a B.

Question 2:

The shrinkage in length of a certain brand of blue jeans is normally distributed with a mean of 1.2 inches and a standard deviation of 0.5 inch. What percent of this brand of jeans will shrink the following amounts? (Round your answers to two decimal places.)

(a) more than 1.7 inches
%

(b) between 0.9 and 1.35 inches
%

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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