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Within a large metropolitan area, 22% of the commuters currently use the public transportation system, whereas the remaining 78% commute via automobile. The city has recently revitalized and expanded its public transportation system. It is expected that 6 months from now 29% of those who are now commuting to work via automobile will switch to public transportation, and 71% will continue to commute via automobile. At the same time, it is expected that 15% of those now using public transportation will commute via automobile and 85% will continue to use public transportation.
(a) Construct the transition matrix for the Markov chain that describes the change in the mode of transportation used by these commuters. (Do this on paper. Your teacher may ask you to turn in this work.)
(b) Find the initial distribution vector for this Markov chain. (Do this on paper. Your teacher may ask you to turn in this work.)
(c) What percentage of the commuters are expected to use public transportation 6 months from now?
in a study of 11000 car crashes, it was found that 5599 of them occured within 5 miles of home (based on insurance company data). use a 0.01 significance level to test the claim that more than 50% of car crashes occur within 5 miles of home.
If it costs Acme Manufacturing C dollars per hour to operate its golf ball division, and an analyst has determined that C is related to the number of golf balls produced per hour, x, by the equation C = 0.009x squared - 1.8x + 100.
In your own words, describe the process of factoring by grouping. Explain how the distributive property is used in this process. Give a detailed example of this process.
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The probability that a house in an urban area will be burglarized is 5%. If 50 houses are randomly selected, what is the probability that one of the houses will be burglarized?
Find an equation that describes the position of point P above its rest position as a function of time. Take t = 0 to be the instant when the string is released.
Read the Nature article, Sustainable Trophy Hunting of African Lions and discuss any challenges in the analysis. Can you think of another ways to do the regression analysis?
Pick two data points predicted by the research model a(t) to construct a new exponential model b(t) for the number of cumulative AIDS cases. Discuss how the two models differ and explain the use of the word "relief".
A vertical cross section of a certain 3-dimensional solid is parallel to the base and forms a rectangle. The horizontal cross section is perpendicular to the base and is also a rectangle. Name the 3-dimensional solid.
Poker, in the deck 52 cards, hand of 5 cards, one of the winning hands is flush, all cards belong to a common suit. A) Calculate the number of possible combinations of poker hands B) Calculate a probabilty of flush
For what values h (hours) does Quick Move offer the better deal? Express your answer as an inequality. Explain how you reached your answer.
A stone is thrown into a lake, and t seconds after the splash the diameter of the circle of ripples is t meters. Express the circumference C of this circle as a function of t.
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