Andrew plans to retire in 40 years. He plans to invest part of his retirement funds in stocks, so he seeks out info on past returns. Over the 20th century the real annual return on U.S common stocks had mean 8.7% and standard deviation 20.2%. The distribution of annual returns on common stocks is roughly symmetrical, so the mean return over an even moderate number of years is close to

Andrew plans to retire in 40 years. He plans to invest part of his retirement funds in stocks, so he seeks out info on past returns. Over the 20th century the real annual return on U.S common stocks had mean 8.7% and standard deviation 20.2%. The distribution of annual returns on common stocks is roughly symmetrical, so the mean return over an even moderate number of years is close to

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 value of a stock varies each day from $12.82 to $19.17 with a uniform distribution. Find the third quartile, i.e., 75% of all days the stock is below what value? Round your answer to the nearest cent.
Suppose the time (minutes) an Instructor spends grading a Math 10 quiz is uniformly distributed in the interval (8, 25). How long it takes the instructor to grade 65% of the quizzes?
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A researcher wants to investigate the effects of environmental factors on IQ scores. For an initial study, she takes a sample of 400 people who grew up as the only child. She finds that 49.5% of them have an IQ score over 100. It is known that 50% of the general population has an IQ score exceeding 100. Answer the following. (If necessary, consult a list of formulas.) (a) Find the mean of p, where p is the proportion of people with IQ scores over 100 in a random sample of 400 people. (b) Find the standard deviation of p. |(c) Compute an approximation for P(p 20.495), which is the probability that there will be 49.5% or more individuals with IQ scores over 100 in a random sample of 400. Round your answer to four decimal places.
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A researcher wants to investigate the effects of environmental factors on IQ scores. For an initial study, she takes a sample of 400 people who grew up as the only child. She finds that 51.5% of them have an IQ score over 100. It is known that 50% of the general population has an IQ score exceeding 100. Answer the following. (If necessary, consult a list of formulas.) (a)Find the mean of p, where p is the proportion of people with IQ scores over 100 in a random sample of 400 people. (b)Find the standard deviation of p. (c)Compute an approximation for P≥p0.515, which is the probability that there will be 51.5% or more individuals with IQ scores over 100 in a random sample of 400. Round your answer to four decimal places.