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Finite Mathematics & Its Applications (12th Edition)
- If p(A) = 0.11, p(B) = 0.15 and p(A and B)= 0.26, are A and B independent? %3D %3Darrow_forwardcourse name : stochastic modelsarrow_forwardArbor Systems and Gencore stocks both have a volatility of 44%. Compute the volatility of a portfolio with 50% invested in each stock if the correlation between the stocks is 0.00. If the correlation is 0.00, the volatility of the portfolio is%. (Round to one decimal place.)arrow_forward
- Given P(A) = 0.28, P(B) = 0.20, and P(B|A) = 0.28, are A and B independent or dependent? %3Darrow_forwardSmokers make up 17% of the US population, while 10% of the US population is left handed. In a sample of 70 people, 12 are smokers and 7 are left handed. Only one participant is a left handed smoker. Does handedness appear to influence people to become smokers? Support your answer mathematically.arrow_forwardGiven P(A) = 0.25, P(B) dependent? 0.28, and P(B|A) = 0.28, are A and B independent or %3D %3Darrow_forward
- LINK ANALYSIS 3 4 Figure 5: Graph with four vertices Referring to Figure 5, answer the followings. 1. Analyze the figure and write down the column stochastic matrix for the graph.arrow_forwardInvesting: Inverse ETFS (Exchange Traded Funds) Inverse ETFS, sometimes referred to as "bear market" or "short" funds, are designed to deliver the opposite of the performance of the index or category they track, and so can be used by traders to bet against the stock market. The following table shows the performance of three such funds as of August 5, 2015.t Year-to-Date Loss (%) MYY (ProShares Short Midcap 400) 6 SH (ProShares Short S&P 500) 5 REW (ProShares UltraShort Technology) 7 You invested a total of $6,000 in the three funds at the beginning of 2011, including an equal amount in MYY and SH. Your total year-to-date loss amounted to $360. How much did you invest in each of the three funds? MYY $ SH REW $ %24 %24 %24arrow_forwardI have tried to answer this question but it keeps telling me I am wrong so I am hoping that maybe you will help me get the right answer. In a population of 200,000 people, 60,000 are infected with a virus. After a person becomes infected and then recovers, the person is immune (cannot become infected again). Of the people who are infected, 5% will die each year and the others will recover. Of the people who have never been infected, 25% will become infected each year. How many people will be infected in 4 years? (Round your answer to the nearest whole number.)arrow_forward
- edo exercises 17 and 18 in section 8.1 of your textbook, about the small animal who lives in an area with woods and meadows, using the following data:If the animal is in the woods on one observation, then it is twice as likely to be in the woods as the meadows on the next observation. If the animal is in the meadows on one observation, then it is three times as likely to be in the meadows as the woods on the next observation.Assume that state 1 is being in the meadows and that state 2 is being in the woods.(1) Find the transition matrix for this Markov process. (2) If the animal is initially in the woods, what is the probability that it is in the woods on the next three observations? (3) If the animal is initially in the woods, what is the probability that it is in the meadow on the next three observations?arrow_forwardLong High School has kept a record of how many students have enrolled in Algebra 1 over the last 40 years. Algebra 1 Students at Long High School 40 35 1970-1979 1980-1989 1990-1999 2000-2009 Year Based on the data, the enrollment for Algebra 1 over the next ten years will most likely- remain at 38 students be more than 38 students O be less than 38 students be less than 15 students Number of Students in Algebra 1arrow_forwardTeach nis goat! x. Alan Chryst is cultivating Venus flytraps in order to plant them in a newly restored refuge that has the appropriate bog habitat. After considerable study by a consulting company, it was determined that, a successful restoration of this species will require 2500 fly traps to be planted there. The site is still being restored, and it is expected that it will be ready for planting in 5 years. Alan currently has 50 plants, and he loses 2% of his plants every year to a fungus. Alan wants to determine the rate at which he must reproduce these plants. For every plant he has in his possession, how many offspring must Alan produce from that plant to reach his quota in 5 years?arrow_forward
- Linear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning