2 Only three brands of beer (beer 1, beer 2, and beer 3)are available for sale in Metropolis. From time to time,people try one or another of these brands. Suppose that atthe beginning of each month, people change the beer theyare drinking according to the following rules:30% of the people who prefer beer 1 switch to beer 2.20% of the people who prefer beer 1 switch to beer 3.30% of the people who prefer beer 2 switch to beer 3.30% of the people who prefer beer 3 switch to beer 2.10% of the people who prefer beer 3 switch to beer 1.For i = 1, 2, 3, let x, be the number who prefer beer i atthe beginning of this month and y, be the number who pre-fer beer i at the beginning of next month. Use matrix mul-tiplication to relate the following:E AX2

Given: Rules followed by the people for changing the beer.To find: Relation between xi and yi using…

Answered: 2 Only three brands of beer (beer 1,…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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) A recent poll surveyed 1587 adults (18 years of age and older, residing in the contiguous United States, contacted by phone from randomly selected homes). Residents who agreed to participate were categorized according to their political party preference (Democrat, Republican or other) and their gender (male or female). To make life easier, we’ll focus on the responses from the south (37% of the sample or 588 people). Our question is about the “Gender Gap” in American politics (the gender gap is described as differences in voting preferences for men and women). Is voting preference independent of gender? What test should you use and why?
In a certain city, with a population of 1,000,000 people, 17 people have been infected with a disease. Five of these people are superspreaders. Superspreaders do not get sick, but will always be infected. Out of the remaining infected people, 50% do not get sick, and do not isolate, but will spread the disease for a week and then will no longer be infected. 35% will self-isolate and get better. The remaining 15% get sick and are admitted to hospital. Within a week, a superspreader will infect 0.1% of the population. A spreader is only infected for a week but will infect 0.01% of the population. Everyone in self-isolation will recover within a week. 50% of people in hospital will die, while the other 50% make a full recovery. a) Following this trend, what happens to the population over time?
1
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An undergraduate psychology course only gives the grades of A, B, C, or F. The department has determined that there should be 20% A's given, 30% B's given, 40% C's, and 10% F's given as final grades for the course. For the spring 2021 semester, 400 students took the course and 100 students received A's, 100 students received B's, 150 students received C's and 50 students received F's, so taose are my obsérved frequencies. We want to do a Chi-square Multinomial Goodness of Fit test to see if our grading guidelines match up with what is actually happening. What is the expected frequency for the grade of C category? Round your answer to the tenths position.
2. Mobile phone operator TELE2 has at least 4 tariffs: Brivais(B), Savejis(S), Smart(SM), Zelts(Z). In 2019Y the proportion of clients for each tariff is: B=5%; S=50%; SM-15%; Z=30%. Possible changes from one type of tariff to another for the following year are the following: to B to S to SM to Z from B 5% 2% 1% 1% 1% from S 3% 1% from SM 5% 5% from Z 5% 4% 3% Find initial distribution, Transition matrix (stochastic matrix), stationary distribution and plot a graph for transition of one step. bain ic the following
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A car rental agency in a major city has a total of 4600 cars that it rents from three locations: Metropolis Airport, downtown, and the smaller City Airport. Some weekly rental and return patterns are shown in the table (note that Airport means Metropolis Airport). Returned to AP DT CA 90% 10% 10% Airport (AP) Downtown (DT) 5% 80% 5% Rented from At the beginning of a week, how many cars should be at each location so that the same number of cars will be there at the end of the week (and hence at the start of the next week)? AP DT CA Need Help? cars cars cars Read It Watch t Talk to a Tutor

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