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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Question 6.88
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
According to KRomenx, Snell, and Thompson, 2 the Land of Oz is blessed by many things, but not by good weather. They never have two nice days in a row. If they have a nice day, they are just as likely to have snow as rain the next day. If they have snow or rain, they have an even chance of having the same the next day. If there is change from snow or rain, only half of the time is this a change to a nice day. DRAW TRANSITION GRAPH AND PROBABLOLITY MATRIX
QUESTION 19 Consider the following chart to decide whether the following statements are True or False, or Can not be determined. (you may choose an answer more than once, if necessary): Ages of Lottery Winners 11 10 9 8. 1 Number of winners
ch 15 end. 5: A marketing research firm wishes to study the relationship between wine consumption and whether a person likes to watch professional tennis on television. One hundred randomly selected people are asked whether they drink wine and whether they watch tennis. The following results are obtained:
A music shop is promoting a sale in which the purchaser of a compact disk can roll a die, then deduct a dollar from the retail price for each dot that shows on the rolled die. It is equally likely that the die will come up any integer from 1 through 6. The owner of the music shop pays $5.00 for each compact disk, then prices them at $9.00. During this special promotion, what will be the shop’s average profit per compact disk sold?
Q3 (D. A. Şaşmaz, Problem 9.23) – There is a common belief that usually one sex of children (either boy or girl) run in the family, i.e. once a family have the first baby as a girl, other children are expected to be girl as well, or vice virsa. Based on an observation on 320 families having 5 children, the sex of children (boys or girls) are given in the following table. Do these results confirm that the probabilities of having girl or a boy in the same family are equal at 5% and 1% significance levels? a) Use normal approximation method to binomial distribution. b) Use chi-square test. Number of Boys/Girls 5B0G 4B1G ЗВ2G 2B3G 1B4G OB5G Number of families 18 56 110 88 40 8.
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
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?
#3
Environment-friendly agricultural practice includes the application of pesticides when it is really necessary, e.g., at the beginning of a pest emergence. Such practice, depending on the field conditions, and the reaction of growers, for the same level of “alert”, inspired this question.Assume that in the middle of the growing season in a given area, there is one pest emergence every two weeks on average. There is a generalized emergence of pests in a given area. At this stage of the emergence, not all growers decide to apply pesticides, hoping that the emergence will be brief or without implication for their field. Accordingly, assume 75% of the growers in that area at that time decide to apply pesticides. a) What is the probability that among five growers randomly sampled, two decide not to apply pesticides? b) What is the probability that among 10 randomly sampled growers, more than nine decide to apply pesticides?

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