Mr. Wilcox and Mrs. Gallas spent a full day playing Skee Ball and collected some data. Based on the data, who would you predict to win a match? X1020304050 Y1020304050Probability0.40.20.20.140.06 Probability0.020.280.550.10.05Are X and Y discrete or continuous? Why?Verify that each probability distribution is valid.Find and then find . Based on this answer, who will win?Find the average of the X values. Find the average of the Y values. Based on this answer, who will win?Using the SPA applet, launch the Probability applet and choose “Discrete probability distribution”. Enter Mr. Wilcox’s data and click “Begin analysis”. Do the same for Mrs. Gallas. Sketch the graphs and record the values below. Graph Distribution for XGraph Distribution for YMean for Graph Distribution for X =Mean for Graph Distribution for Y= SD for Graph Distribution for X =SD for Graph Distribution for Y= Based on the applet, who will win? Why?

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Description: Mr. Wilcox and Mrs. Gallas spent a full day playing Skee Ball and collected some data. Based on the data, who would you predict to win a match? X1020304050 Y1020304050Probability0.40.20.20.140.06 Probability0.020.280.550.10.05Are X and Y discrete or

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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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Mr. Wilcox and Mrs. Gallas spent a full day playing Skee Ball and collected some data. Based on the data, who would you predict to win a match?

X	10	20	30	40	50		Y	10	20	30	40	50
Probability	0.4	0.2	0.2	0.14	0.06		Probability	0.02	0.28	0.55	0.1	0.05

Are X and Y discrete or continuous? Why?

Verify that each probability distribution is valid.

Find and then find . Based on this answer, who will win?

Find the average of the X values. Find the average of the Y values. Based on this answer, who will win?

Using the SPA applet, launch the Probability applet and choose “Discrete probability distribution”. Enter Mr. Wilcox’s data and click “Begin analysis”. Do the same for Mrs. Gallas. Sketch the graphs and record the values below.

Graph Distribution for X

Graph Distribution for Y

Mean for Graph Distribution for X =

Mean for Graph Distribution for Y=

SD for Graph Distribution for X =

SD for Graph Distribution for Y=

Based on the applet, who will win? Why?

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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