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 1/3 of the time, and be cloudy the next day 1/3 ofthe time• if it is cloudy on one day, it will be sunny the next day 1/3 of the time, and be cloudy the next day 1/3 ofthe time• if it is rainy on one day, it will be sunny the next day 1/6 of the time, and be cloudy the next day 1/6 of thetimeUsing 'sunny', 'cloudy', and 'rainy' (in that order) as the states in a system, set up the transition matrix for aMarkov chain 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

The probabilities associated with the given question are as follows: If it is sunny on one day, it…

Answered: The weather on any given day in a…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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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.?
1.) Let arr86 be a binary variable equal to 1 if a man was arrested during 1986, and zerootherwise. You have a dataset of young men from California who were born in 1960 or1961 and have at least one arrest prior to 1986. You also have data on the proportion ofprior arrests that led to a conviction (pcnv), the average sentence served from priorconvictions in months (avgsen), months spent in prison since age 18 prior to 1986(tottime), months spent in prison in 1986 (ptime86), and the number of quarters (0 to 4)that the man was legally employed in 1986 (qemp86). You estimate the following linearprobability model (standard errors are in parentheses): arr86 = 0.441 - .162pcnv + .0061avgsen - .0023tottime (.017) (.021) (.0065) (.005) - .022ptime86 - .043qemp86 (.005) (.005) n= 2725R2=.0474 a) Interpret the coefficient on avgsen, commenting on both magnitude and significance. Based on these results, do longer sentences deter future crime?…
The weather on any given day in a particular city can be sunny, cloudy, or rainy. It has been observed to be predictable 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 the time • 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 the time ● 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 the time Using 'sunny', 'cloudy', and 'rainy' (in that order) as the states in a system, set up the transition matrix for a Markov chain to describe this system. Use your matrix to determine the probability that it will rain on Wednesday if it is sunny on Sunday. 000 P=000 000 Probability of rain on Wednesday = 0
The table shows the leading causes of death in a certain country in a recent year. The population of the country was 311311 million. If you lived in a typical city of 500,000, how many people would you expect to die of cancercancer each year? Cause Deaths Cause Deaths Heart disease 596 comma 700596,700 Alzheimer's disease 84 comma 90084,900 Cancer 575 comma 300575,300 Diabetes 73 comma 40073,400 Chronic respiratory diseases 143 comma 100143,100 Pneumonia/Influenza 53 comma 40053,400 Stroke 128 comma 600128,600 Kidney disease 45 comma 30045,300 Accidents 122 comma 500122,500 Suicide 38 comma 60038,600 About people would be expected to die of cancer each year. (Type a whole number. Round to the nearest person as needed.)
A company manufacturing CDs is working on a new technology. A random sample of 646 Internet users were asked: "As you may know, some CDs are being manufactured so that you can only make one copy of the CD after you purchase it. Would you buy a CD with this technology, or would you refuse to buy it even if it was one you would normally buy?" Of these users, 59% responded that they would buy the CD. Complete parts a and b below. a) Create a 99% confidence interval for this percentage. ( 54.008 %, 63.993 %) (Round to three decimal places as needed. Use ascending order.) b) If the company wants to cut the margin of error by two thirds, how many users must they survey? The company must survey a total of (Type a whole number.) users
A beverage company surveyed 310 customers about their favorite type of weather and preferred beverage. The results are displayed in the table. Water Coffee Tea Soft Drink Sunny 28 44 16 36 Stormy 14 22 18 8 Snowy 21 21 33 12 27 Cloudy 7 11 9 4 Is preferring water independent of favoring snowy weather? Justify mathematically. Yes, because 0.068 = (0.226)(0.300) Yes, because 0.021 (0.226)(0.300) No, because 0.068 = (0.226)(0.300) No, because 0.021 # (0.226)(0.300)
3
G.324.
If N = 18 and α = 0.052 tailed, the value of Tcrit is _________.
The figure below shows timber production in particular months from 2000 to 2005. Which of the following months of the year seems to have the lowest timber production? (a) January (b) April (c) July (d) October
2.T.3 A car rental agency has three locations, A, B, and C, and a complete fleet of 1000 cars. Most people return their car to the same location they rented it from: this happens .9 of the time, to be precise. Of the people renting at location A, .01 of them return the car to location B, and .09 to location C. Of the people renting at location B, .01 of them return the car to location A, and .09 to location C. Of the people renting at location C, .01 of them return the car to location B, and .09 to location A. This car agency has been in operation for many years, so one expects their cars to be distributed according to the steady state solution. How many cars will there be in location A?
on solution 3 the probablity that tails would appear on both coins is 14?

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