MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Chapter 2, Problem 11P
Using the colon symbol, create a row
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4. Suppose you are investigating the properties of three random variables called "A", "B", and
"C", and you discover the following information about them: A ~ N(0,1); B ~
C~X(μc, 2), where all observations on "A" are independent, and, "B" and "C" are independent
of each other. Use this information to answer the following questions.
(a.) Suppose we create a new variable, "D", as:
What type of distribution does "D" have?
D =
(b.) What are the degrees of freedom of "D" in this example?
(c.) Suppose we create a new variable, "E", as:
45
E
==
ΣΑ
i=1
What type of distribution does "E" have?
(d.) What are the degrees of freedom of "E" in this example?
23. If P(A)=0.4, P(A or B)=0.9, and P(A and B)=0.2. find P(B).
A. 0.7°
B. 0.3
C. -0.7
D. 0.5
6
In Statistics class, the probability that a randomly-selected
student was born in India is 0.07.
10 students are
independently and randomly selected. What is the
probability that at least one of them was born in India?
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a) 0.07
b) 0.93
c) 0.48
d) 0.52
Chapter 2 Solutions
MATLAB: An Introduction with Applications
Ch. 2 - Prob. 1PCh. 2 - Create a variable b that is a row vector with the...Ch. 2 - Create a variable c that is a colums vector with...Ch. 2 - Create a variable d that is a column vectorwith...Ch. 2 - Define the variables x= 3.4 and y= 5.8, and then...Ch. 2 - Define the variables c = 4.5 and d = 2.8, and then...Ch. 2 - Create a variable g that is a row vector in which...Ch. 2 - Create a variable h that is a row vector with...Ch. 2 - Create a variable M that is a column vector in...Ch. 2 - Create a variable N that is a column vector with...
Ch. 2 - Using the colon symbol, create a row vector...Ch. 2 - Using the linspace command, create a row vector...Ch. 2 - Using the colon symbol, create a variable named...Ch. 2 - Use a single command to create a row vector...Ch. 2 - Use a single command to create a row vector...Ch. 2 - Use a single command to create a row vector...Ch. 2 - Create two row vectors v=41:-3:29 and w=17:4:37....Ch. 2 - Create two column vectors T= [5:5:25]’ and S=...Ch. 2 - Create a row vectors A=4:3:13 and a column vector...Ch. 2 - Create a row vector vA=1: 3 : 34 that has 12...Ch. 2 - Create a row vector vC=2 :3 :38 that has 13...Ch. 2 - Create two row vectors vD=20 :4 :44 and vE=50 :3...Ch. 2 - Create a nine-element row vector vF=5 : 7: 61....Ch. 2 - Create the following matrix by assigning vectors...Ch. 2 - Create the following vector by using the linspace...Ch. 2 - Create the following matrix by typing one command....Ch. 2 - Create the following matrix by typing one command....Ch. 2 - Create the following matrix by typing one command....Ch. 2 - Create the following matrix by typing one command....Ch. 2 - Create the following matrix by typing one command....Ch. 2 - Create the following three row vectors: a=[58102]...Ch. 2 - Create the following three row vectors: a= [5 8 -1...Ch. 2 - Create the following to row vectors: d=[6-1 4 0 -2...Ch. 2 - Prob. 34PCh. 2 - Create the following vector: V=[5 0 -3 7 6 -1 2 8...Ch. 2 - Create the following vectors: u= [0 9 -5 6 3 -1 2]...Ch. 2 - Create the following matrix M: M= 1 7 13 19 25 3 9...Ch. 2 - Create the following matrix N: N= 0 3 6 9 12 15 18...Ch. 2 - Create the following matrix G: G= 0.1 0.2 0.3 0.4...Ch. 2 - Create the following matrix K: K= 0.25 0.5 0.75...Ch. 2 - The following matrix is defined in MATLAB: S= 1 2...Ch. 2 - The following matrix is defined in MATLAB: T= 2 4...Ch. 2 - By hand (pencil and paper) write what will be...Ch. 2 - Using the zeros, ones, and eye commands, create...Ch. 2 - Use the eye, ones, and zeros command to create the...
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- A population has mean 50 and standard deviation 10.If a random sample of size 25 is taken, find the standard error of the mean.arrow_forwardA manufacturer claims that the mean life of their bulbs is 1200 hours with a standard deviation of 100 hours.A sample of 25 bulbs has a mean life of 1170 hours.Test the claim at a 5% significance level.arrow_forwardFor the matrix A below, find a nonzero vector in Nul A and a nonzero vector in Col A. 4 2 -4 0 A= - 12 -4 20 -8 12 2-28 16 Find a nonzero vector in Nul A.arrow_forward
- During the 2017-2018 flu season, a random sample of 180 hospitalizations related to flu was studied. It was later determined that 19 patients have died. A similar study during the 2018-2019 flu season revealed that in a random sample of 180 hospitalized cases related to flu, there were 16 deaths observed. At 5% significance level, test the claim that the percentage of deaths in 2017-2018 is greater than the percentage of deaths in the 2018-2019 season. Procedure: Two proportions Z Hypothesis Test Assumptions: (select everything that applies) Normal populations Population standard deviation are unknown but assumed equal The number of positive and negative responses are both 10 or more for each sample Paired samples Population standard deviation are unknown Sample sizes are both greater than 30 Simple random samples Population standard deviations are known Independent samples Step 1. Hypotheses Set-Up: Ho: Select an answer H: Select an answer ?~ Step 2. The significance level a = 96…arrow_forwardIn hypothesis testing, a Type I error is:A. Failing to reject a false null hypothesisB. Rejecting a true null hypothesisC. Choosing the wrong statistical testD. A computational rounding errorarrow_forwardA 95% confidence interval for a mean is (10, 16). Which statement is correct?A. There is a 95% probability the population mean lies between 10 and 16.B. 95% of the sample data lie between 10 and 16.C. If we repeat the sampling procedure many times, ~95% of such CIs will contain the true mean.D. The true mean is definitely 13.arrow_forward
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