Answered: Suppose the distribution of soccer…

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

While Tom Brady played until the age of 44 in the NFL, it has been documented that
NFL players’ retirement age is normally distributed with a mean of 33 years and a standard
deviation of 2 years, N (33, 2).
a. What is the probability that an NFL player retires after the age of 35? Use Table A
at the end of the textbook to answer this question.
b. What is the probability that an NFL player retires between 30 and 36 years of age?
Use Table A to answer this question.
c. Find the age below which 75% of NFL players retire. Use Table A to answer this
question.
d. Suppose the distribution of soccer players’ retirement age is N (30, 3). The soccer player
Andrea Pirlo retired at 38. How can you compare Pirlo’s and Brady’s longevity in their
sporting careers? Assuming they started their careers at the same age, determine who had
a longer career.

Question d) only please

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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