Matlab
6th Edition
ISBN: 9781119299257
Author: Amos Gilat
Publisher: WILEY CONS
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Chapter 3, Problem 32P
The magic square is an arrangement of numbers in a square grid in such a way that the sum of the numbers in each row, and in each column, and in each diagonal is the same. MATLAB has a built-in function magic (n) that returns an n×n magic square. In a script file create a (5×5) magic square, and then test the properties of the resulting matrix by finding the sum of the elements in each row, in each column and in both diagonals. In each case, use MATLAB’s built-in function sum. (Other
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Question 3
The following stem-and-leaf displays the weekly salary of employees at this firm.
Stem-and-Leaf Display
Leaf Unit = 10.0
N=x
5
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12 4 0125888
(y)
5 11234456777
z
6 13568
5
7 154
2
8 46
i.
Determine the value of x, y and z.
[3]
ii. What is the value of the median?
[2]
iii.
Find the mode of this data set.
iv.
Calculate the range
[1]
[2]
Let Y be a continuous RV with PDF
otherwise
Find the CDF, Fry), of Y .
Find an expression for pth, p € (0, 1), quantile of the distribution.
Find E(Y) and V(Y).
Find E(-2Y + 1) and V(-3Y - 2).
Find E(Y3).
Let X be a continuous RV with CDF
Find P(X < 0), P(-1 < X < 1) and P(0.5 < X).
Based on your answers to the above questions, what is the median of the distribu-tion? Why
Find the PDF, fx (x), of X.
Chapter 3 Solutions
Matlab
Ch. 3 - Prob. 1PCh. 3 - For the function y=x4ex, calculate the value of y...Ch. 3 - For the function y=(x+yx+3)(1+2x2)x3 , calculate...Ch. 3 - For the function y=4sinx+6(cos2x+sinx)2 ,...Ch. 3 - The radius, r, of a sphere can be calculated from...Ch. 3 - Prob. 6PCh. 3 - The remaining loan balance, B, of a fixed payment...Ch. 3 - Prob. 8PCh. 3 - Prob. 9PCh. 3 - The angle between two vectors u1=x1i+y1j+z1k and...
Ch. 3 - The following vector is defined in MATLAB: d=[2 4...Ch. 3 - The following two vectors are defined in MATLAB:...Ch. 3 - Define the vector v= [1 3 5 7]. Then use the...Ch. 3 - Define the vector v=[5 4 3 2]. Then use the vector...Ch. 3 - Define x and y as the vectors x= [0.5, 1, 1.5, 2,...Ch. 3 - Define r and s as scalars r = 1.6 × 103 and s =...Ch. 3 - The area of a triangle ABC can be calculated by...Ch. 3 - Prob. 18PCh. 3 - The center of mass, ( x , y, z). of n particles...Ch. 3 - Prob. 20PCh. 3 - The maximum distance s and the maximum height h...Ch. 3 - Use MATLAB to show that the sum of the infinite...Ch. 3 - Use MATLAB to show that the sum of the infinite...Ch. 3 - The natural exponential function can be expressed...Ch. 3 - Show that limx/3sin(x/3)4cos2x1=36 . Do this by...Ch. 3 - Show that limx05sin(6x)4x=7.5. Do this by first...Ch. 3 - The Hazen Williams equation can be used to...Ch. 3 - The monthly lease payment. Pmt, of a new car can...Ch. 3 - Create the following three matrices: A= 537206489...Ch. 3 - Use the matrics A, B, and C from the previous...Ch. 3 - Create a 33 matrix A having random integer values...Ch. 3 - The magic square is an arrangement of numbers in a...Ch. 3 - Solve the following system of three linear...Ch. 3 - Solve the following system of six linear...Ch. 3 - A football stadium has 100.000 seats. In a game...Ch. 3 - A food company manufactures five types of 8-oz...Ch. 3 - The electrical circuit shown consists of resistors...
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