4.43. At a local grocery store there are queues for service at the fish counter(1), meat counter (2), and café (3). For i = 1,2,3 customers arrive from outsidethe system to station i at rate i, and receive service at rate 4 + i. A customerleaving station i goes to j with probabilities p(i, j) given the following matrix1230 1/4 1/22 1/5 0 1/53 1/3 1/3 01In equilibrium what is the probability no one is in the system, i.e., 7(0,0,0).

Given i=1,2,3 Service rate 4+i Find The probability is no one in the system i.e. π0,0,0

Answered: 4.43. At a local grocery store there…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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28.
Q1:A/ Put the following program in matrix standard form Min (z) = 20x₁+22x2 S.T. 2x1+4x₂ <150 6x₁+8x1 ≤200 72x1+2x₂≤ 175 with X₁ and x₂ non nagative
2.2. Suppose that A is an n x m matrix, and that B is a k x l matrix. For the following values of n, m, k and l: is AB defined? If it is, what is the shape of AB? (а) п %3D 3, т - 2, k - 3, 1 — 4. (b) п %3 3, т — 2, k %3D 2, 1 %3D 4. (с) п %3 3, т — 5, k %3D 5, 1 %3 4.
28. a. If A is a 3x5 matrix, then the rank of A is at most Why? b. If A is a 3x5 matrix, then the nullity of A is at most -- Why? c. If A is a 3x 5 matrix, then the rank of AT is at most Why? d. If A is a 3x 5 matrix, then the nullity of AT is at most Why?
2.12. Let a non-zero matrix A satisfy A° = 0. Prove that A cannot be diagonalized. More generally, any non-zero nilpotent matrix, i.e. a non-zero matrix satisfying AN = 0 for some N cannot be diagonalized.
I have ans but I need explation Solution: The rows of a Jacobian matrix always depends on the dimension of x and the number of columns depends on the parameters. Therefore, the answer is Dimension of x (for rows). As many parameters (for column)
C, D And E please!
14:12 1OO Inv 62% Which of the operations (I) to (IV) do not represent elementary row operation(s) on a matrix? I: Exchanging two rows. Il: Adding a multiple of one row to another. III: Multiplying a row by a scalar. IV : Multiplying two rows with one another. OA Only (I). O B. Only (1) and (IV). Oc Or: None of the other options. O D. Only (1) and (IV). E. Only (I) and (IV). F. Only (IV) G. Only () H.Only ) II da
6. For any two n x n non-singular matrices A and B, then (a) K(A. B) ≥ K(A). K(B) (c) K(A. B) K(A). K(B) (d) K(A. B) ≤ K(A). K(B)
2. Consider the tournament whose adjacency matrix is 0 01 0 1 1 1 1 1 1 1 1 0 0 0 T = |0 1 1 0 1 0 0 1 0 0 0 0- 1 1 1 1 1 1 l1 0 1 1 Here, Tij = 1 if player i defeated player j in the tournament.

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