C) (a) Find valid initiation and update functions for the Markov chain in Example 2.2(the Los Angeles weather), with starting distribution (0) = (½, ½).(b) Write a computer program for simulating the Markov chain, using the initiationand update functions in (a).(c) For n ≥ 1, define Y, to be the proportion of rainy days up to time n, i.e.,Yn=n1n+1I(X=s1)⋅i=0Simulate the Markov chain for (say) 1000 steps, and plot how Yn evolveswith time. What seems to happen to Yn when n gets large?

a) If you find the solution doubtful or doesn't match with your answer provided, or you feel that I…

Answered: (a) Find valid initiation and update…

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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2. Consider the foot length and foot width of six fermale grade 4 students in Morning Star Montessori School in 2006: Length of foot (cm) Y 20.9 Width of foot (cm) X 8.5 24 9 19.6 7.9 22.6 8.8 21 8.8 21.6 9.3 For the next five items, refer to the problem above, in the previous page. In addition to the female grade 4 students, below are some of the boys measurements: Width of foot (cm) Length of foot (cm) Y 8.4 8.8 9.7 9.8 8.9 9.7 22.4 23.4 22.5 23.2 23.1 23.7 6. What is the standard deviation of the X values (s.)?
11. [csc® xdx
the comic book store owner is curious in how well radio and newspaper advertisements work. A sample of 22 counties with almost equal populations was gathered during the month. For each of the counties, the owner has set aside a particular sum for radio and newspaper advertising. Additionally, the owner was able to access comic book sales information for the stores he controlled in each county and classified it as Low or High. COUNTY (X1) Comic book Sales (X2) (0 = Low, 1 = High) Radio Ads (X3) (in thousands) Newspaper Ads (X4) (in thousands) 1 1 0 40 2 0 0 40 3 0 25 25 4 0 25 25 5 0 30 30 6 0 30 30 7 0 35 35 8 0 35 35 9 0 40 25 10 0 40 25 11 1 45 45 12 1 45 45 13 1 50 0 14 1 50 0 15 1 55 25 16 1 55 25 17 1 60 30 18 1 60 30 19 1 65 35 20 1 65 35 21 1 70 40 22 1…
The 2019-2020 flu season was especially tough.By the end of the season, an estimated total of 49 million people in the United States had contracted the flu, of whom an estimated 79,000 died from the flu. Assume that the US population was 300,000,000 during the 2019-2020 flu season and that during the season, a total of 2.9 million Americans died from all causes (including the flu). Assume the population of the US remained the same at the midpoint of the season. Report mortality rates per 100,000. Be sure to express the measure in the correct format. c.What was the flu-related mortality rate during the 2019-2020 flu season? d.What is the all-cause mortality rate during the 2019-2020 flu season? e.In a country with an age distribution that is much younger than in the US, the proportionate mortality rate from flu in 2019 was 5%. Based on this information alone, can we determine that the risk of dying from flu in 2019 was higher in this country compared to the US? Why or why not?
1. A study was conducted to investigate the effects of three factors on the fragmentation of an explosive device. The factors of interest are pipe diameter, a restraint material and the air gap between the device and the restraint material. Two repeat tests were conducted on each combination of the factor levels. The data are shown below. (a) (b) (c) Air gap (C) Factors A (in.) B C (in.) Material (B) 0.50 in. 0.75 in. Factor levels Low 0.75 Sand 0.50 Sand 57.6 57.9 61.8 61.3 0.75 in. High 1.75 Earth 0.75 Pipe Diameter (A) Earth 63.2 63.5 65.8 63.5 Sand 69.5 69.2 68.1 69.0 1.75 in. Earth 69.9 62.0 55.3 59.8 Suppose that in the data above, we had confounded ABC in replicate I and AB in replicate II. Give the name of this design? Outline the design mentioned in (a). Analyze the data and infer your conclusion.
12. (18 pts) In a survey of 203 professional athletes, it was found that 98 of them owned a convertible, 86 of them owned a giant screen TV, and 98 owned a sporting goods store. 25 owned a convertible and a store, 36 owned a TV and a store, and 51 owned a convertible and a TV. 15 owned all three items. a. How many athletes did not own any of the three items? b. How many owned à convertible and a TV, but not a store? 36 c. How many athletes owned a convertible or a TV? d. How many athletes owned exactly one type of item in the survey? e. How many athletes owned at least one type of item in the survey? f. How many owned a TV or a store, but not a convertible?
B. 3R+6B SR+4B PCR) = ? %3D P (B)= ? P( BilR)=? PC Bi |B)=? P ( Bzl R)=} P (Bz| B)= ? 2. If there are two Bqqs B, and Bz. In Bag bage one there are 3 red balls and 6 Blue bells. In Bag two there are 5 red balls andA blue balle. If One ball is Chosen at random. find the following trobubilities !
Es A census of all the 12,475 current students at the local community college showed that 56.5% want to transfer to a university, their average age is 21.7 years, and 60 of them are pursuing degrees in mathematics. In order to attract more students, the math department organized an "Opportunities in Mathematics" fair for current students of the college. A total of 267 students from those who attended responded to a poll. The poll showed that 83% of those who answered want to transfer to a university, the average poll respondent was 22.3 years old, and 77 them were interested in pursuing a degree in mathematics. (a) For the math fair poll, identify the population and the sample. Population: (Choose one) Sample: (Choose one) (b) Choose whether each number described below is a parameter or a statistic for the math fair poll. Number Parameter Statistic The 60 students pursuing a math degree among all the current students at the community college The 56.5% of all current students at the…
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An interdepartmental task force is being formed to investigate an increase in violent crimes. 1/5 of the task force will be police officers from the local precinct. 1/4 will be ATF agents, and the remaining 22 will be from the FBI. How many people are participating in the task force?
An insurance company is thinking about offering discounts on its life insurance policies to nonsmokers. As part of its analysis, the company randomly selects 200 men who are 60 years old and ask them if they smoke at least one pack of cigarettes per day and if they have ever suffered from heart disease. 10 out of the 38 smokers had suffered from some type of heart disease and 12 out of 150 nonsmokers had suffered from some type of heart disease. Can we conclude at the 5% level of significance that smokers have a higher incidence of heart disease than nonsmokers? (Don't hand writing solution)
10

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