A wolf pack always hunts in one of three regions R1, R2, and R3. Its huntinghabits are as follows:If it hunts in some region one day, it is as likely as not to hunt there again thenext day. If it hunts in R1, it never hunts in R2 the next day. If it hunts in R2or R3, it is equally likely to hunt in each of the other regions the next day.If the pack hunts in R1 on Monday, find the probability that it hunts there onThursday. Then find the steady state vector using (I-P)s=0 Find the determinant of the following matrix: (remember, you don't have toexpand across the first row)24 2 31-1 0 4A: =-17 020004

To find the determinant of matrix A, we can use the Laplace expansion along the first…

Answered: A wolf pack always hunts in one of…

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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This student never eats the same kind of food for 2 consecutive weeks. If she eats in a Korean restaurant one week, then she is four times as likely to have Turkish as French food the next week. If she eats in a Turkish restaurant one week, then she is equally likely to have Korean as French food the next week. If she eats in a French restaurant one week, then she is five times as likely to have Korean as Turkish food the next week. Assume that state 1 is Korean and that state 2 is Turkish, and state 3 is French. Find the transition matrix for this Markov process. ... ... P = ... ...
A small ice cream parlor has had great success over the past several years and is interested in expanding into handmade chocolate candies. A poll of 56 randomly selected customers was asked if they would purchase these chocolate candies. Forty of the customers indicated that they would. Customers Stottetomers wto would nan eturer. d. The ice cream parlor needs at least 85% of its customers to purchase handmade chocolate candies to make this expansion profitable. Does it appear as if the expansion into handmade chocolate candies will be profitable? Explain.
At a tourist place, it has been observed that: 40% of the women like to travel with a Purse, 30% of the women like to travel with a Sunglass, 35% of the women like to travel with a Watch, and it is also noted that: 12% of the women like to travel with a Purse and a Sunglass, 3% of the women like to travel with all these three luxuries, 10% of the women like to travel with a Purse and a Watch, and 8% of the women like to travel only with a Sunglass. Purse Watch Sunglass Modern women like luxury. A woman What percentages of the women like to travel with Watch only? a. 30% b. 27% ♥ What percentages of the women do not like to carry them C. 40% (Purse, Sunglass, Watch)? v What percentages of women like to travel with Purse only? v What percentages of women like to travel with both Watch f. 13% and Sunglass? d. 65% e. 15% g. 52% v What percentages of women like to travel either with Watch or with Sunglass? v What percentages of women like to travel with Sunglass only? h. 8% i. 21%
Suppose that after the 2020 presidential election there are three races that are too close to call: Wisconsin,Michigan, and Pennsylvania. In order to become president, a candidate must receive 270 electoral votes ormore. Wisconsin has 10 electoral votes, Michigan has 16, and Pennsylvania has 20. Suppose that in theother decided races, Democrats have 259 electoral votes and Republicans have 233. The Democrat has an80% chance of winning Wisconsin, a 50% chance of winning Michigan, and a 10% chance of winningPennsylvania. A statistician defines a random variableXto be +1 if the Democrat wins,−1 if theRepublican wins, and 0 if neither candidate reaches 270 electoral votes. Find the probability densityfunction ofX. (Hint: Make this easier by figuring out the scenario in which the Republican wins or there isa tie!)
Spam Email Filters. A study by Forbes indicated that the five most common words appearing in spam emails are shipping!, today!, here!, available, and fingertips!. Many spam filters separate spam from ham (email not considered to be spam) through application of Bayes' theorem. Suppose that for one email account, 1 in every 10 messages is spam and the proportions of spam messages that have the five most common words in spam email are given below. shipping! 0.051 today! 0.045 here! 0.034 available 0.014 fingertips! 0.014 Also suppose that the proportions of ham messages that have these words are: shipping! 0.0015 today! 0.0022 here! 0.0022 available 0.0041 fingertips! 0.0011 a. If a message includes the word shipping!, what is the probability the message is spam? If a message includes the word shipping!, what is the probability the message is ham? Should messages that include the word shipping! be flagged as spam? b. If a message includes the word…
I conduct an online study to determine whether rewards reduce procrastination. All participants are asked to complete a task sometime before a deadline (10 days from now). The computer randomly assigns participants to one of three groups, and emails them their instructions; one group receives a reward as soon as they do the task (contingent reward); a second group receives rewards as soon as they finish the task as long as it is before the deadline (non-contingent reward) and the third group does not receive rewards at all (no reward). Three participants in the no reward condition do not complete the task, and so are dropped from analyses. The dependent variable is the amount of time (in days) it takes participants to complete the task. The JAMOVI output is attached. Post-hoc Tukey tests show that... (select all that apply) ANOVA ANOVA - Time Reward Residuals Assumption Checks Homogeneity of Variances Test (Levene's) F df1 df2 0.056 Statistic 0.964 Sum of Squares df Mean Square F…
1. A realtor sells houses in three different neighborhoods in the city—A, B and C. He sells ranch style homes and two-story homes. Last year, 60% of his sales were in neighborhood A, while neighborhood B made up 25% and neighborhood C was 15% of the sales. Only 10% of the houses in neighborhood A were ranches, compared with 40% for neighborhood B and 50% for neighborhood C. Suppose we randomly select one of the homes he sold in one of these three neighborhoods. (1) What’s the probability that the home is a ranch? (Enter a decimal as your answer, round to the nearest thousandth when necessary) (2) If the home is a ranch, what’s the probability that it is in neighborhood C? (Enter a decimal as your answer, round to the nearest thousandth when necessary)

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