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Quiz MA 110-07: Probability and Statistics, Exercises of Mathematical Methods for Numerical Analysis and Optimization

A quiz on probability and statistics for a finite math course. It includes two questions: the first one is about the independence of two events related to the sum of the rolls of two dice, and the second one is about finding the mean and median test scores, as well as creating histograms for the given data.

Typology: Exercises

2012/2013

Uploaded on 03/31/2013

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MA 110-07
§3.7-4.2 Quiz #7 score
Name:
10 April 2001
1. Two dice are rolled. Let Adenote the event that the sum of the two dice is even, and let B
denote the event that the sum of the two dice is odd. Are Aand Bindependent? Explain.
(7 points)
2. Students in a Finite Math course make the following scores on a test: 45, 59, 65, 72, 73,
79, 81, 84, 85, 89, 96, 98.
(a) Find the mean and the median test score. (6 points)
(b) If the cut-off scores for A, B, C, and D are 90, 80, 70, and 55, respectively, make a
frequency histogram and a relative frequency density histogram (two different bar
graphs) of the data. (7 points)

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MA 110-

Quiz

score

Name:

10 April 2001

  1. Two dice are rolled. Let A denote the event that the sum of the two dice is even, and let B denote the event that the sum of the two dice is odd. Are A and B independent? Explain. (7 points)
  2. Students in a Finite Math course make the following scores on a test: 45, 59, 65, 72, 73, 79, 81, 84, 85, 89, 96, 98.

(a) Find the mean and the median test score. (6 points)

(b) If the cut-off scores for A, B, C, and D are 90, 80, 70, and 55, respectively, make a frequency histogram and a relative frequency density histogram (two different bar graphs) of the data. (7 points)