Suppose that the return for a particular investment is normally distributed with a populationmean of 10.1% and a population standard deviation of 5.4%.What is the probability that the investment has a return of at least 20%? (2 marks)What is the probability that the investment has a return of 10% or less? (2 marks).A person must score in the upper 5% of the population on an IQ test to qualify for a particularoccupation.If IQ scores are normally distributed with a mean of 100 and a standard deviation of15, what score must a person have to qualify for this occupation? (4 marks).

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Answered: What is the probability that the…

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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Suppose that the return for a particular investment is normally distributed with a population

mean of 10.1% and a population standard deviation of 5.4%.

What is the probability that the investment has a return of at least 20%? (2 marks)
What is the probability that the investment has a return of 10% or less? (2 marks).

A person must score in the upper 5% of the population on an IQ test to qualify for a particular

occupation.

If IQ scores are normally distributed with a mean of 100 and a standard deviation of

15, what score must a person have to qualify for this occupation? (4 marks).

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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