MA 114 Exam 4 Form B Solutions.pdf - MA 114 Introduction to...

This preview shows page 1 - 3 out of 6 pages.

MA 114 - Introduction to Finite Mathematics Spring 2017 Instructor : Lucas Castle Exam 4 - Form B Solutions 1. [15 points] A group of 4 people is selected at random. What is the probability that at least two people in the group have the same birthday? (Round to 3 decimal places).
2. Which of the following matrices are regular stochastic matrices? Explain. (a) [5 points] A = 0 0 0 . 1 0 0 . 5 0 . 2 1 0 . 5 0 . 7
(b) [5 points] B = 0 . 2 0 . 8 0 . 7 0 . 2
(c) [5 points] C = 1 1 0 0
C 2 = 1 1 0 0 1 1 0 0 = 1 1 0 0 . Clearly, if we continue to power C , we will always obtain the same matrix (and zeros will be present in its second row). Thus C is not regular.

  • Left Quote Icon

    Student Picture

  • Left Quote Icon

    Student Picture

  • Left Quote Icon

    Student Picture