Answered: The exam scores on a certain Society 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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Question

The exam scores on a certain Society of Actuaries (SOA) professonal examination are Normally distributed with a mean score of μ=67% and a standard deviation of σ=5%.

(a) What is the probability that a random chosen person who is writing this SOA exam will score at most 66%?

Note, when finding/using z-values, use three decimals. (use four decimals in your answer)

(b) What proportion of all persons writing this SOA Exam will score between 71% and 82% on the exam? Use four decimals in your answer. _______

(c) 31% of all persons writing this SOA Examination will not pass. What is the minimum mark needed to pass this exam? _______% Enter your answer to two decimal places, and enter as a percentage

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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