Exercise -1:If the following T-matrix shows the voters' preference fortwo candidates competing in four electoral regions that: tij refersto the preference ratios of candidate i in the region j, where i = 1,2, j = 1, 2, 3, 4. And refers to the number of voters in every regionj, j=1, 2, 3, 4. Calculate the expected number of voters for eachcandidate and interpret of results.[0.6 0.55 0.3 0.480.4 0.45 0.70 0.52B =[80000 70000 150000 90000]T=

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Answered: Exercise -1: If the following T-matrix…

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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Assume that A, B, and C are subsets of a sample space S with Pr(A) = 0.75, Pr(B) = 0.55, Pr(C) = 0.25. 1. Find Pr(A'), Pr(B'), and Pr(C'). Pr(A') = Pr(B') = %3D Pr(C') = 2. If Pr(A U B) = 0.75., find Pr(A n B). Pr(A n B) = 3. Suppose that we know that B and C are disjoint events. Find Pr[B U C]. Pr[B U C] = 4. Suppose that instead of being disjoint C C B. Find Pr[B U C]. Pr[BU C] =
4 A political poll is assessing the relative strengths of two presidential candidates. A value of + 1 is assigned to every person who states a preference for candidate A and a value of -1 is assigned to anyone who indicates a preference for candidate B.a) Find the sample mean if 60% of those polled indicate a preference for candidate A.b) Write an expression for the sample mean as a function of the sample size and thepercentage of those polled that are in favor of candidate A.c) Find the sample size necessary to estimate the percentage of persons in favor ofcandidate A with a standard deviation no greater than 0. 1 %
Which of these modelling techniques tends to use many small trees? O a. All of these O b. Decision Trees c. Random Forests O d. Gradient Boosting
Q1) Below find the records of 12 randomly selected used pickup trucks (none used commercially) and 11 randomly selected used passenger cars, the time (in years) that they were kept by the original owner before being sold: Used pickup trucks | 3 | 2.5 2.9 5 4.2 3.1 3.3 4 5.3 3.8 4.5 Used passenger cars | 2.2 3 2.8 4.3 4 3.3 2.9 2.1 2 3.1 3 It is known that the standard deviation of used pickup trucks is 2 years and of used passenger cars is 1 year. (a) Investigate, at the 5% significant level, whether the mean time (in years) that used pickup trucks were kept by the original owner before sold is larger than used passenger cars. (b) What assumption is needed to perform the test in (a). (c) Construct the 96% confidence interval for the mean difference of time (in years) were kept by the original owner before sold between used passenger cars and used pickup trucks. Use this confidence interval to tell whether there is difference in the mean time (in years) between these 2 tynes of…
5 Calculate XkYk for the n = 5 data points (×₁,Y₁ ) = (2,4), (×2,Y₂) = (3,5), (×3,Y3) = (4,8), (×4,Y4) = (5,10), and k=1 (X5,5) = (6,14). 5 Σ xxYk = [ k=1 (Simplify your answer.)
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Assume that A, B, and C are subsets of a sample space S with Pr(A) = 0.8, Pr(B) = 0.6, Pr(C) = 0.15. 1. Find Pr(A'), Pr(B'), and Pr(C'). Pr(A') = Pr(B') = Pr(C') = 2. If Pr(A U B) = 0.85., find Pr(AN B). Pr(AN B) = 3. Suppose that we know that B and C are disjoint events. Find Pr[BUC. Pr[BUC] = 4. Suppose that instead of being disjoint C C B. Find Pr[B U C]. Pr[BUC] =
10
A researcher randomly selected 158 personal vehicles and noted the type of vehicle and its color. The two-way table displays the data. A 5-column table with 4 rows. Column 1 has entries sedan, S U V, convertible, total. Column 2 is labeled Red with entries 14, 9, 20, 43. Column 3 is labeled Blue/Green with entries 31, 19, 6, 56. Column 4 is labeled Black/Gray with entries 22, 34, 3, 59. Column 5 is labeled Total with entries 67, 62, 29, 158. The columns are titled Vehicle color and the rows are titled vehicle type. Suppose a vehicle is randomly selected. Let event C = convertible and R = red. What is the value of P(R|C)? StartFraction 29 Over 158 EndFraction StartFraction 43 Over 158 EndFraction StartFraction 20 Over 43 EndFraction StartFraction 20 Over 29 EndFraction

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