In Exercises 1–6, determine whether or not the matrix is a regular stochastic matrix.
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Finite Mathematics & Its Applications (12th Edition)
- Determine if the following matrix is a regular stochastic matrix. * 1 P = .2 .8 O False True O No Ideaarrow_forwardIf possible, fill in the missing values to make A a doubly stochastic matrix. (If not possible, enter IMPOSSIBLE.) - [ 0.3 a = b = A = a 0.3 X Xarrow_forward1 .2° is a regular stochastic matrix. 10. Determine if P 0.8arrow_forward
- PLease help, answer asap!! a. TRUE or FALSE: A stochastic matrix is a matrix that is square; all entries are greater than or equal to 0; and the sum of the entries in each column is 1. b. TRUE or FALSE: A regular matrix is a stochastic matrix that when raised to some power has all positive nonzero entries. c. TRUE or FALSE: An absorbing matrix is a stochastic matrix that has at least one absorbing state and it is possible to get to at least one absorbing state from any nonabsorbing state, either directly or indirectly. d. TRUE or FALSE: A polynomial interpolant is a model that can be found using an exact number of data points, n +1, for a polynomial of degree n e. TRUE or FALSE: The Method of Least-Squares is used for an overdetermined system of equations. f. TRUE or FALSE: The solution to a system of equations that results in parallel lines is no solution and is an inconsistent system. g. TRUE or FALSE: In order to find an exponential model, you must linearize the data and new data…arrow_forwardEXAMPLE 6.67 If λ = 2 per hour and = 3 per hour in an M/M/4/N queueing system and there are 2 chairs for waiting customers, calculate the probability that there are 7 customers in the system.arrow_forwardDetermine if the given stochastic matrix is regular. If it is regular input the smallest exponent which shows the matrix to be regular, otherwise input 0. 0.04 A = 0 0.96arrow_forward
- Exercise 10.2.5. An ion channel can be in either open (0) or closed (C) states. If it is open, then it has probability 0.1 of closing in 1 microsecond; if closed, it has probability 0.3 of opening in 1 microsecond. Calculate the probability of the ion channel going through the following sequence of states: COO.arrow_forward2 5 31 5. Write X =|-3 6 0 as the sum of a skew symmetric and a symmetric 4 1 1] matrix.arrow_forwardConsider the system below, and assume that each component functions independently of the others with probability p = 0.8. What is the probability that the entire system works?arrow_forward
- 2. Determine whether or not the given matrix is stochastic. If so, determine if it is regular, absorbing, or neither. 01 0 6173 213arrow_forwardA piece of equipment will function only when the three components A, B and C are working. The probability of A failing during one year is 0.15, that of B failing is 0.05, and that of C failing is 0.10. What is the probability that the equipment will fail before the end of the year?arrow_forwardEXAMPLE 6.38 Consider an M/M/c queueing system. Find the probability arriving customer is forced to join queue. that anarrow_forward
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