Answered: Q: Marks on a CSS exam were normally…

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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Hi, Respected M'am!

Could please solve this question ASAP.

Q: Marks on a CSS exam were normally distributed with a mean of 60 and a variance of 36.
a. Find the probability that a randomly selected CSS exam will have a mark of at least
66?
b. What percentage of CSS exams will have marks between 48 and 51?
c. If the top 3.92% of CSS marks receive merit awards, what is the lowest mark eligible
for an award?
d. If there were 334 CSS exams with marks of at least 69, how many students took the
exam?

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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