The weather on any given day in a particular city can be sunny, cloudy, or rainy. It has beenobserved to be predictable largely on the basis of the weather on the previous day.Specfically:• if it is sunny on one day, it will never be sunny the next day, and be cloudy the next day4/5 of the time• if it is cloudy on one day, it will be sunny the next day 1/5 of the time, and be cloudy thenext day 1/5 of the time• if it is rainy on one day, it will be sunny the next day 2/5 of the time, and be cloudy thenext day 2/5 of the timeUsing 'sunny', 'cloudy', and 'rainy' (in that order) as the states in a system, set up thetransition matrix for a Markov chain to describe this system.Find the proportion of days that have each type of weather in the long run.000P=000000Sunny 000Proportion of days that are CloudyRainy=

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Answered: The weather on any given day in a…

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 teacher believes that students who study more than four hours for her tests will do better than students who do not study for her tests. To test this belief, the teacher recruited 16 students and randomly assigned them to two groups: G1: a group of n1=8 students that studied more than four hours for her test, and G2: a group of n2=8 students that did not study for her test. The following are the data from G1, who studied more than four hours for the test: n1=8 M1=85 s1=5 (this is the standard deviation of the sample, dividing the sum of squares by n1) The following are the data from G2, who did not study for the test: n2=8 M2=75 s2=4 (this is the standard deviation of the sample, dividing the sum of squares by n2) Perform a t-test by answering the questions below. Use an alpha-level of α=.05. 0. Using formulas from Section 4, compute the estimates of the population variances, est. σ12 and est. σ22 (from s1 and s2 above). 1. What is the research…
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in your post, please go through the problem word for word and fill in each bubble. Failure to follow these instructions or any deviation from the steps in the following question will result in a downvote.
After a 30-member battalion fled, the general ordered the battalion to suffer decimation as punishment. In a decimation, one of out of every ten soldiers is killed. Assuming they are killed at the same time (so that it doesn't matter what order they are chosen), how many ways can the battalion be decimated?
1
Q.5 5A. On average 62 % of Finite Mathematics students spend some time in the Mathematics Department's resource room. Half of these students spend more than 90 minutes per week in the resource room. At the end of the semester the students in the class were asked how many minutes per week they spent in the resource room and whether they passed or failed. The passing rates are summarized in the following table: Time spent in resource room Pass% None 27 Between 1 and 90 minutes 42 More than 90 minutes 75

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