Answered: Question. The time needed to complete a…

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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^{23 ( Anderson chap[ 6) Question. The time needed to complete a final examination in a particular college course is normally
distributed with a mean of 80 minutes and a standard deviation of 10 minutes. Answer the
following questions.
a. W hat is the probability of completing the exam in one hour or less?
b. W hat is the probability that a student will complete the exam in more than 60 minutes
but less than 75 minutes?
c. Assume that the class has 60 students and that the examination period is 90 minutes
in length. How many students do you expect will be unable to complete the exam in
the allotted time?}

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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