MATH 2260 - Probability and Statistics I

 

Text: Modern Elementary Statistics by Freund and Perles, 12'th edition

 

Calculator policy is set by the individual instructor.

 

Suggested Topics and Problems from the Text:

 

Class       Sections          Topics and Problems

                       

1.          3.1--3.6          Mean, Median, and Mode.

                              3.1--3.11(odd), 3.25--3.33(odd),

                              3.38, 3.39.

 

2.          4.1, 4.2          Range, Variance, and Standard Deviation.

                              4.1--4.4, 4.8--4.12

 

3,4         4.3               Chebyshev's Theorem, and z-score.

                              4.18--4.22, 4.24--4.28

 

5.          5.1               Multiplication Rule for Counting.

                              5.4--5.8, 5.11

 

6.          5.2               Permutations.

                              5.12--5.24 

 

7.          5.3               Combinations.

                              5.25--5.40 

 

8.          Review for Test 1.

 

9.          Test 1.          

 

10.         5.4, 6.1          Sample Spaces, Events, and Classical     

                              Probability Concept.

                              5.43--5.59(odd),6.1--6.5,6.10--6.18

 

11.         6.2               The Postulates of Probability.

                              6.21--6.29 

 

12.         6.4               Addition Rule.

                              6.40--6.49 

 

13,14       6.5, 6.6          Multiplication Rule for Probability and

                              Conditional Probability.

                              6.53--6.65

 

15.         6.7               Bayes' Theorem.

                              6.70--6.75.

 

16.         8.1, 8.2          Random Variables and Probability

      Distributions.

                              8.1--8.4

 

17.         8.3               Binomial Distributions.

                              8.5--8.16  

 

18.         8.4               Hypergeometric Distributions.

                              8.18--8.22

 

19.         8.7, 7.1          Mean, Variance, and Expectation.

                              8.40--8.43, 7.1--7.8

 

20.         8.8               The Standard Deviation of a Probability

                              Distribution.

                              8.44--8.49

 

21.         Review for Test 2.

 

22.         Test 2.

 

23.         9.1               Continuous Distributions.

                              9.1--9.5

 

24.         9.2               The Normal Distribution.

                              9.6--9.20

 

25.         9.4               Applications of the Normal Distribution.

                              9.25--9.37

 

26.         9.5               The Normal Approximation to the Binomial

                              Distribution.

                              9.39--9.48

 

27.         10.1, 10.6        Random Sampling, Sampling Distribution.

                              10.1--10.4,

                              10.30, 10.31

 

28.         10.7              The Standard Error of the Mean.

                              10.35--10.37

                             

29,30       10.8              The Central Limit Theorem.

                              10.40--10.43

 

31.         Review for Test 3.

 

32.         Test 3.

 

 

33,34       11.1              Confidence Interval(large samples).

                              11.1--11.11

 

35.         11.2              Confidence Interval ( n < 30 ).

                              11.17--11.27

 

36,37       12.2              Tests of Hypotheses

                              12.1--12.5

                              (Type II error is optional)

 

38,39       12.3              Tests Concerning Means.

                              12.21--12.25

 

40.         12.4              Tests Concerning Means(small samples).

                              12.27--12.34

 

41,         11.4              Confidence Interval for Proportions.

                              11.37--11.48, 11.50, 11.51

 

42.         14.2              Tests Concerning Proportions.

                              14.1--14.8

 

43.         Review for Test 4.

 

44.         Test 4.

 

45.         Review for the Final Exam.

 

 

 

 

   Time permitting, some instructor(s) may cover Chi-square Test for Goodness of Fit, and other additional topics from the textbook.