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Martin commutes to work. Each day he either drives his car, takes the bus, or takes a taxi. He never drives his car two days in a row. There is a 19% chance that he will drive if he did NOT drive the previous day. He is always twice as likely to take the bus as he is to take a taxi. (Example: If the probability that he takes a taxi is 1/4, then the probability that he takes a bus is twice that: 2(1/4) = 2/4 = 1/2.) This gives you enough information to set up the transition matrix. (Hint: When creating transition matrices it is important not to round any of the numbers because when you start multiplying matrices the round-off error will get compounded. To avoid this, use fractions instead of approximated decimals. For example, you would put a fraction such as 5/6 in your matrix as "5/6" instead of using the decimal approximation "0.83333333".) Use the matrix to answer the following questions. (Give your answers correct to three decimal places.) (a) If Martin drives on Monday, what is the probability he will take the bus on Wednesday? (b) If Martin drives on Monday, what is the probability he will take a taxi on Thursday? If Martin drives on Monday, what is the probability he will drive on Thursday? (c) In the long run, what fraction of the time does he drive? In the long run, what fraction of the time does he take the bus? In the long run, what fraction of the time does he take a taxi?
The surrounding lawn is to be 10m wide on the north and south sides of the garden and 3m wide on the east and west sides. Find the dimensions of the rose garden if the total area of the rose garden and the lawn together is to be a minimum.
A right triangle has one leg that is twice as long as the other leg. The hypotenuse is 2 square root 5 inches. Find the length of the other leg.
Find the multiple linear regression.
through the point(-2,4) and satifies the given condition L is a vertical line and L2 is the horizontal line and X intercept of L is 3 what is the equation
you invested $22,000 in two accounts paying 7% and 8% annual interest. If the total interest rate earned for the year was $1740, how much was invested at each rate?
Evaluate the Equation of the line which passes through the two given points and Write down the equations of the line described in the following questions
in his management information systems textbook professor david kroenke raises an interesting pointnbsp if 98 of our
1.)State the multiple regression equation.2)Interpret the meaning of the slopes, b1 and b2,in this problem.3) Predict the weekly fuel consumptions for the average hourly temperature is 53.10 and the chill index is 15.
Write the equation of the trend line. Do the scores support an increasing or a decreasing trend?
Finding the difference of the side lengths of a triangle - Find the smallest possible value of BC - AB?
Let W be the space spanned by f = sinx and g = cosx. Show that for any value of theta, f, = sin(x + theta) and g_1 = cos (x + theta) vectors in W.
Assuming both retire at 70, and that the interest rate both get on their investments is 10% (compounded annually) who has the most money in their account at age 70? Explain why you pick the answer you pick.
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