Silaby of Probability Theory - 22 : the properties of expected values of two or more random variables

1.	Faculty /Study Program	: MIPA/Mathematics Education
2.	Subject & Code	: Probability Theory, MAA 317
3.	The number of SKS	: Theory : 2 sks  Practice : 1 sks
4.	Semester and Duration	: IV, Duration : 100 minutes
5.	Based Competency	: To understand the properties of expected values of two or more random variables

6.  Achievement Indicator                   :

a)   Student can get the expected values of two or more random variables from probability mass functions

b)  Student  can get the expected  values  of two  or more  random  variables  from  probability density functions

7.  Material                                          : The properties of expected values

8.  Lecture Activity                             : 22

Step Component	Activity	Duration	Method	Media	References
Introduction	Explain       briefly       the       material (expected values)	20’	Discussion  and Exercise	LCD, white/black board	A: 171-188 B: 309-372
Main Activities	1.   Explain the properties of expected values  for  two  or  more  random variables 2.   Do   exercise   and   discuss   the results	60’
Closing Activity	Conclude the entire materials and give tasks	10’
Further Activities	Invite the students to ask or give an opinion about the materials	10’

9. Evaluation

The evaluation is performed based on the student activities in discussion, doing exercise.

10. References

A.  Bain, Lee J. & Engelhardt, Max. 1992. Introduction to Probability and Mathematical Statistics. Belmont: Duxbury Press.

B.  Ross, Sheldon M. 1998. A First Course in Probability. New Jersey: Prentice-Hall.