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mathematics
college mathematics for business
Questions and Answers of
College Mathematics For Business
In Problem find the matrix product, if it is defined. 69 3 75
In Problem use the transition matrixto find S1 and S2 for the indicated initial state matrix S0.S0 = [0 1] P= А A B 3 9 А A .7 B.1
In Problem use the transition matrixto find S1 and S2 for the indicated initial state matrix S0.S0 = [1 0] P= А A B 3 9 А A .7 B.1
In Problem could the given matrix be the transition matrix of a regular Markov chain? .1 .5 .9 .4
In Problem could the given matrix be the transition matrix of an absorbing Markov chain? 0 1 0
In Problem use the transition matrixto find S1 and S2 for the indicated initial state matrix S0.S0 = [.6 .4] P= А A B 3 9 А A .7 B.1
In Problem are there unique values of a, b, and c that make P a transition matrix? If so, complete the transition matrix and draw the corresponding transition diagram. If not, explain why. А A A
In Problem could the given matrix be the transition matrix of an absorbing Markov chain? 1 1
In Problem use the transition matrixto find S1 and S2 for the indicated initial state matrix S0.S0 = [.2 .8] A В A.7 P = BL.1 .9.
In Problem could the given matrix be the transition matrix of a regular Markov chain? 4 .6 1
In Problem use the transition matrixto find S1 and S2 for the indicated initial state matrix S0.S0 = [.25 .75] A В A.7 P = BL.1 .9.
In Problem solve the equation SP = S to find the stationary matrix S and the limiting matrix P̅. А В A 4 .6 P BL.2 .8
In Problem could the given matrix be the transition matrix of an absorbing Markov chain? .3 .7 1
In Problem solve the equation SP = S to find the stationary matrix S and the limiting matrix P̅. А В С A 4 .6 P = B .5 .3 .2 C 0 .8 .2
In Problem could the given matrix be the transition matrix of an absorbing Markov chain? .6 .4 1
In Problem use the transition matrixto find S1 and S2 for the indicated initial state matrix S0.S0 = [.75 .25] A В A.7 P = BL.1 .9.
In Problem could the given matrix be the transition matrix of an absorbing Markov chain? 1 0 1 1
In Problem find the limiting matrix for the indicated standard form. Find the long-run probability of going from each non-absorbing state to each absorbing state and the average number of trials
In Problem could the given matrix be the transition matrix of a regular Markov chain? [: 1 .8 .2
In Problem use the transition diagramto find S1 and S2 for the indicated initial state matrix S0.S0 = [1 0] .5 A B .8
In Problem could the given matrix be the transition matrix of an absorbing Markov chain? 1 0 0 1
In Problem find the limiting matrix for the indicated standard form. Find the long-run probability of going from each non-absorbing state to each absorbing state and the average number of trials
In Problem use the transition diagramto find S1 and S2 for the indicated initial state matrix S0.S0 = [0 1] .5 A B .8
In Problem could the given matrix be the transition matrix of a regular Markov chain? .6 .4 .1 .9 .3 .7
In Problem could the given matrix be the transition matrix of an absorbing Markov chain? .9 .1 .1 .9 0 1
In Problem use a graphing calculator to approximate the limiting matrix for the indicated transition matrix.Matrix P from Problem 14 А В С A 4 .6 P = B .5 .3 .2 C 0 .8 .2
In Problem use the transition diagramto find S1 and S2 for the indicated initial state matrix S0.S0 = [.3 .7] .5 A B .8
In Problem use a graphing calculator to approximate the limiting matrix for the indicated transition matrix.Matrix P from Problem 15 А В A 1 P = B0 C.3 A 1 .1 .6
In Problem use a graphing calculator to approximate the limiting matrix for the indicated transition matrix.Matrix P from Problem 13 А В A 4 .6 P BL.2 .8
In Problem use the transition diagramto find S1 and S2 for the indicated initial state matrix S0.S0 = [.9 .1] .5 A B .8
In Problem could the given matrix be the transition matrix of an absorbing Markov chain? .9 0 1 1 0 .2 .8
In Problem use a graphing calculator to approximate the limiting matrix for the indicated transition matrix.Matrix P from Problem 16 А В С C D A 1 B 0 В 1 P = C.1 .5 .2 .2 DL.1 .1 .4 4 ||
In Problem could the given matrix be the transition matrix of a regular Markov chain? 1 0 0 1 .5 .5
In Problem use the transition diagramto find S1 and S2 for the indicated initial state matrix S0.S0 = [.5 .5] .5 A B .8
Find a standard form for the absorbing Markov chain with transition matrix с D .1 A В .6 .2 .1 B 0 P = 1 C .3 .2 .3 .2 DLO 0 о 1
In Problem use the transition diagramto find S1 and S2 for the indicated initial state matrix S0.S0 = [.2 .8] .5 A B .8
In Problem find a standard form for the absorbing Markov chain with the indicated transition diagram. A B .3 .5 C .4
In Problem could the given matrix be the transition matrix of a regular Markov chain? .1 .3 .6 .8 .1 .1 1
In Problem use the transition matrixto find S1 and S2 for the indicated initial state matrix S0.S0 = [0 1 0] А В A .2 .4 4 P = B .7 .2 .1 .5 .3 .2
In Problem use the transition matrixto find S1 and S2 for the indicated initial state matrix S0.S0 = [0 0 1] А В A .2 .4 4 P = B .7 .2 .1 .5 .3 .2
In Problem determine the long-run behavior of the successive state matrices for the indicated transition matrix and initial-state matrices. A В с A 0 1 P = B0 C.2 .6 .2 (A) So = [0 0 1] (B) So =
In Problem use the transition matrixto find S1 and S2 for the indicated initial state matrix S0.S0 = [.5 0 .5] А В A .2 .4 4 P = B .7 .2 .1 .5 .3 .2
In Problem find a standard form for the absorbing Markov chain with the indicated transition diagram. A B C
In Problem determine the long-run behavior of the successive state matrices for the indicated transition matrix and initial-state matrices. А В в с C A 1 P = B0 1 CL.2 (А) So 3 [0 0 1] (В) So
In Problem find a standard form for the absorbing Markov chain with the indicated transition diagram. A B .1 .4 .2 D .3 .3
In Problem find a standard form for the absorbing Markov chain with the indicated transition diagram. 4 .6 A B .7 1 C .3
In Problem use the transition matrixto find S1 and S2 for the indicated initial state matrix S0.S0 = [.5 .5 0] А В A .2 .4 4 P = B .7 .2 .1 .5 .3 .2
In Problem use the transition matrixto find S1 and S2 for the indicated initial state matrix S0.S0 = [.1 .3 .6] А В A .2 .4 4 P = B .7 .2 .1 .5 .3 .2
In Problem find a standard form for the absorbing Markov chain with the indicated transition matrix. A B A .2 P = B 1 C А .3 .5 C 1
For each transition matrix P in Problem solve the equation SP = S to find the stationary matrix S and the limiting matrix P. .5 .5 P = .3 .7
In Problem use the transition matrixto find S1 and S2 for the indicated initial state matrix S0.S0 = [.4 .3 .3] А В A .2 .4 4 P = B .7 .2 .1 .5 .3 .2
For each transition matrix P in Problem solve the equation SP = S to find the stationary matrix S and the limiting matrix P. .5 .1 .4 P = .3 .7 0.6 .4
In Problem find a standard form for the absorbing Markov chain with the indicated transition matrix. A BCD A.1 B 0 1 0 .2 .3 4 P = C.5 .2 .2 .1 D 0 |o 0 0 1
In Problem use the transition diagramto find S1 and S2 for the indicated initial state matrix S0.S0 = [1 0 0] B .8 A .2 C .5
Show that S = [x y z 0], where 0 ≤ x ≤ 1, 0 ≤ y ≤ 1, 0 ≤ z ≤ 1, and x + y + z = 1, is a stationary matrix for the transition matrixDiscuss the generalization of this result to any
In Problem use the transition diagramto find S1 and S2 for the indicated initial state matrix S0.S0 = [0 1 0] B .8 A .2 C .5
In Problem use the transition diagramto find S1 and S2 for the indicated initial state matrix S0.S0 = [0 .4 .6] B .8 A .2 C .5
A red urn contains 2 red marbles, 1 blue marble, and 1 green marble. A blue urn contains 1 red marble, 3 blue marbles, and 1 green marble. A green urn contains 6 red marbles, 3 blue marbles, and 1
For each transition matrix P in Problem solve the equation SP = S to find the stationary matrix S and the limiting matrix P. .8 .2 P = .5 .1 .4 0.6 .4
In Problem find the limiting matrix for the indicated standard form. Find the long-run probability of going from each non-absorbing state to each absorbing state and the average number of trials
In Problem use the transition diagramto find S1 and S2 for the indicated initial state matrix S0.S0 = [.8 0 .2] B .8 A .2 C .5
In Problem use the transition diagramto find S1 and S2 for the indicated initial state matrix S0.S0 = [.5 .2 .3] B .8 A .2 C .5
Give an example of a transition matrix for a Markov chain that has no limiting matrix.
In Problem find the limiting matrix for the indicated standard form. Find the long-run probability of going from each non-absorbing state to each absorbing state and the average number of trials
Draw the transition diagram that corresponds to the transition matrix of Problem 9.Problem 9In Problem use the transition matrixto find S1 and S2 for the indicated initial state matrix S0.S0 = [0 1]
In Problem use the transition diagramto find S1 and S2 for the indicated initial state matrix S0.S0 = [.2 .7 .1] B .8 A .2 C .5
Give an example of a transition matrix for an absorbing Markov chain that has two different stationary matrices.
In Problem find the limiting matrix for the indicated standard form. Find the long-run probability of going from each non-absorbing state to each absorbing state and the average number of trials
Give an example of a transition matrix for a regular Markov chain for which [.3 .1 .6] is a stationary matrix.
Find the transition matrix that corresponds to the transition diagram of Problem 15.Problem 15In Problem use the transition diagramto find S1 and S2 for the indicated initial state matrix S0.S0 = [1
Draw the transition matrix that corresponds to the transition diagram of Problem 27. Problem 27In Problem use the transition diagramto find S1 and S2 for the indicated initial state matrix S0.S0
Find the transition diagram that corresponds to the transition matrix of Problem 21.Problem 21In Problem use the transition matrixto find S1 and S2 for the indicated initial state matrix S0.S0 = [0 1
In Problem use a graphing calculator to approximate the entries (to three decimal places) of the limiting matrix, if it exists, of the indicated transition matrix. А В с D A[.1 0 3 .3 .6 B .2 В P
Give an example of a transition matrix for an absorbing Markov chain for which [.3 .1 .6] is a stationary matrix.
In Problem use a graphing calculator to approximate the entries (to three decimal places) of the limiting matrix, if it exists, of the indicated transition matrix. А В с D A[.2 .3 .1 4 B 0 0.8 0
In Problem could the given matrix be the transition matrix of a Markov chain? .5 .5] [.7 -.3
In Problem could the given matrix be the transition matrix of a Markov chain? .3 .7
Table 1 gives the percentage of U.S. adults who at least occasionally used the Internet in the given year.The following transition matrix P is proposed as a model for the data, where I represents the
In Problem approximate the stationary matrix S for each transition matrix P by computing powers of the transition matrix P. Round matrix entries to four decimal places. .51 .49 P = .27 .73
In Problem could the given matrix be the transition matrix of a Markov chain? [.1 .3 .6 .2 .4 .4
In Problem could the given matrix be the transition matrix of a Markov chain? .5 .1 .4 0 .5 .5 .2 .1 .7
A given plant species has red, pink, or white flowers according to the genotypes RR, RW, and WW, respectively. If each of these genotypes is crossed with a red-flowering plant, the transition matrix
Recent technological advances have led to the development of three new milling machines: brand A, brand B, and brand C. Due to the extensive retooling and startup costs, once a company converts its
Table 2 gives the percentage of U.S. adults who were smokers in the given year.The following transition matrix P is proposed as a model for the data, where S represents the population of U.S. adult
In Problem is there a unique way of filling in the missing probabilities in the transition diagram? If so, complete the transition diagram and write the corresponding transition matrix. If not,
In order to become a fellow of the Society of Actuaries, a person must pass a series of ten examinations. Passage of the first two preliminary exams is a prerequisite for employment as a trainee in
In Problem approximate the stationary matrix S for each transition matrix P by computing powers of the transition matrix P. Round matrix entries to four decimal places. .5 .5 P = 0.5 .5 .8 .1 .1
A red urn contains 2 red marbles and 3 blue marbles, and a blue urn contains 1 red marble and 4 blue marbles. A marble is selected from an urn, the color is noted, and the marble is returned to the
In Problem is there a unique way of filling in the missing probabilities in the transition diagram? If so, complete the transition diagram and write the corresponding transition matrix. If not,
In Problem is there a unique way of filling in the missing probabilities in the transition diagram? If so, complete the transition diagram and write the corresponding transition matrix. If not,
In Problem use a graphing calculator to approximate the limiting matrix for the indicated standard form. АВС D A 1 0 0 В о 1 0 P = с .5 .3 .1 .1 DL.6 .2 .1 .1
In Problem use a graphing calculator to approximate the limiting matrix for the indicated standard form. A B CDE 0 0 0 0 A 1 B 0 1 0 4 .5 0 .1 0 4 0 .3 3 Е 4 .4 0 2 0 В 0 0 0 P = C D
In Problem are there unique values of a, b, and c that make P a transition matrix? If so, complete the transition matrix and draw the corresponding transition diagram. If not, explain why. А В
In Problem are there unique values of a, b, and c that make P a transition matrix? If so, complete the transition matrix and draw the corresponding transition diagram. If not, explain why. A
Show that S = [x 1 - x 0], 0 ≤ x ≤ 1, is a stationary matrix for the transition matrixDiscuss the generalization of this result to any absorbing Markov chain with two absorbing states and one
Show that S = [x 1 - x 0 0], 0 ≤ x ≤ 1, is a stationary matrix for the transition matrixDiscuss the generalization of this result to any absorbing Markov chain with two absorbing states and two
An absorbing Markov chain has the following matrix P as a standard form:Let w k denote the maximum entry in Qk. Note that w1 = .6.(A) Find w2, w4, w8, w16, and w32 to three decimal places.(B)
Problem refer to the following transition matrix P and its powers:Find the probability of going from state B to state C in two trials. А В А 43 р2 — в .25 37 A B A C A.6 .3 P = B.2 .5
Problem refer to the following transition matrix P and its powers:Find the probability of going from state A to state B in two trials. А В А 43 р2 — в .25 37 A B A C A.6 .3 P = B.2 .5
Problem refer to the following transition matrix P and its powers:Find the probability of going from state C to state A in three trials. А В А 43 р2 — в .25 37 A B A C A.6 .3 P = B.2 .5
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