STAT 200 Final: Untitled7

9. The rank of 3 2 1 4 7 0 90 2 5 6 0 | 12 7 16 4 ) Is (A) 1, (B) 2, (C)3, (D) 4.

Determine whether the distribution is a discrete probability distribution. X P(x) 1 0.26 2 0.33 3 0.27 4 50 0.28 -0.14 Is the distribution a discrete probability distribution?

A. No, because the sum of the probabilties is not equal to 1.

B. Yes, because the sum of the probabilities is equal to 1.

C. Yes, because the sum of the probabilities is equal to 1 and each probability is between 0 and 1, inclusive.

D. No, because each probability is not between 0 and 1, inclusive.

Version 1 MATH 133 Final Exam - April 18, 2008 II.2 (15 points) Consider the matrix M = [1 1 | 1 2 1 2 3 5 | 1 3 4 5 5 14 6 -3 71 -5 8 -6 11 -13 23 -7 9 . (a) Find the reduced echelon form of M, showing your work. (You should find that M has rank 3.)