The weather on any given day in a particular city can be sunny, cloudy, or rainy. It has been observed to bepredictable largely on the basis of the weather on the previous day. Specfically:●• if it is sunny on one day, it will be sunny the next day 3/10 of the time, and be cloudy the next day 1/5 of thetime• if it is cloudy on one day, it will be sunny the next day 1/2 of the time, and be cloudy the next day 1/10 of thetime●if it is rainy on one day, it will be sunny the next day 7/10 of the time, and be cloudy the next day 1/5 of thetimeUsing 'sunny', 'cloudy', and 'rainy' (in that order) as the states in a system, set up the transition matrix for a Markovchain to describe this system.Use your matrix to determine the probability that it will rain on Wednesday if it is sunny on Sunday.000P=000000Probability of rain on Wednesday = 0

If it is sunny on one day, it will be sunny the next day 310 and be cloudy the next day 15 If it…

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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15P
Solve for B) .541 and .639 were wrong!
Spg
There are X-Mart and Y-Mart convenience stores. It is assumed that each customer purchases once a week at one of the two supermarkets (but not both). In a study, a sample of 100 buyers was taken for 10 weeks. From this research it is known that if buyers go to X-mart store one week, 85 people will still buy at X-mart store the following week and if buyers go to Y-mart store one week, 70 people will still buy at Y-mart store. mart the following week. 1. Make a table and matrix of transition probabilities. 2. If John purchases at X-mart in the first week, what is the probability that Bob purchases at X-store in the third and fourth weeks?
Suppose instead that the farmer sets off one morning at 6 a.m. to bring a crop to market and arrives in town at noon. Having received a great price for her crop, she buys a new car and drives home the next day along the same route, leaving at 10 a.m. and arriving home at 11 a.m. Is it still true that at some point along the route her perfectly accurate watch must read exactly the same time on the two days? If so, must that time occur between 10 and 11 a.m.?
Suppose Aaron recently purchased an electric car. The person who sold him his new car told him that he could consistently travel 200 mi before having to recharge the car's battery. Aaron began to believe that the car traveled even farther than the company claimed, and he decided to test this hypothesis formally. Aaron drove his car only to work and he recorded the number of miles that his new car traveled before he had to recharge its battery a total of 17 separate times. The table shows the summary of his results. Assume his investigation satisfies all conditions for a one-sample t-test. Mean miles traveled Sample size t-statistic P-value P 207 17 1.48 0.079 The results statistically significant at a = 0.01 because P 0.01. are are not V
In this question, the real numbers in your answers should be given with three significant digits of accuracy after the decimal point. The public health authorities of a small town have divided the population into three categories: covid- negative, covid-positive, and hospitalised. After performing regular, extensive tests, they have observed that in each successive week: Among those who are negative, 95% remain so, 4% become positive, and 1% need to be hospitalised. • Among those who are positive, 75% recover and become negative, 20% stay positive, and 5% need to be hospitalised. Among those who are hospitalised, 60% recover and become negative, 30% are released from hospital but remain positive, and 10% remain hospitalised. (a) After representing the population in a given week as a column vector v = [n; p; h], where n, P, and h represent the number of people in the population who are negative, positive, and hospitalised respectively, write down a matrix M for which [n', p', h'] = M[n;…
Suppose P(A) = 0.59, P(B) = 0.28, and P(An B)= 0.01. What is P(Aª|B)? [Give your numeric response to at least 3 decimal places. Give only the number, and no extra characters or symbols.]
22 of 47 > Five strains of the Staphylococcus aureus bacteria were grown for 24 hours either at 35 degrees Celsius or at 43 degrees Celsius. The table gives the resulting bacterial counts for each condition: 24 hours at 35 degrees Celsius 24 hours at 43 degrees Celsius 66 98 71 67 93 42 102 31 62 77 Suppose we had plotted bacterial count at 35 degrees Celsius on the y axis instead of the x axis. How would this change affect the value of the correlation coefficient? The correlation would be the inverse of, or I over, the original value. The correlation coefficient would have the opposite sign. The correlation coefficient would be exactly the same. The correlation coefficient would have an entirely different magnitude.
I need assistance with parts D, and E
2 James is born on September 1, On September 6, four years after he is born, he will begin JK. His mother wants to check his biorhythms for the day he will begin JK a) What is the intellectual y-value for the day that James will begin JK? b) What type of day, intellectually, will the first day of JK be for James? c) Based on all three cycles in the theory of biorhythms, what type of day will the first day of JK be for James?

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