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Statistika Dasar (10) variable acak
- 1. Pertemuan 10 VARIAB E L ACAK DISKRIT DAN KONTINU Hdi Nasbey, M.Si Jurusan Fisika Fakultas Matematika dan Ilmu Pemgetahuan Alam
- 10. Computing the Mean for Investment Returns Return per $1,000 for two types of investments P( X i ) P( Y i ) Economic Condition Dow Jones Fund X Growth Stock Y .2 .2 Recession -$100 -$200 .5 .5 Stable Economy + 100 + 50 .3 .3 Expanding Economy + 250 + 350 Investment 01/02/11 © 2010 Universitas Negeri Jakarta | www.unj.ac.id |
- 11. Computing the Variance for Investment Returns P( X i ) P(Y i ) Economic Condition Dow Jones Fund X Growth Stock Y .2 .2 Recession -$100 -$200 .5 .5 Stable Economy + 100 + 50 .3 .3 Expanding Economy + 250 + 350 Investment 01/02/11 © 2010 Universitas Negeri Jakarta | www.unj.ac.id |
- 12. Continuous Random Variables A random variable X is continuous if its set of possible values is an entire interval of numbers (If A < B , then any number x between A and B is possible). 01/02/11 © 2010 Universitas Negeri Jakarta | www.unj.ac.id |
- 14. Probability Distribution Let X be a continuous rv. Then a probability distribution or probability density function (pdf) of X is a function f ( x ) such that for any two numbers a and b , The graph of f is the density curve . 01/02/11 © 2010 Universitas Negeri Jakarta | www.unj.ac.id |
- 15. Probability Density Function is given by the area of the shaded region. b a 01/02/11 © 2010 Universitas Negeri Jakarta | www.unj.ac.id |
- 17. Ex 1 . (4.1) X = amount of time for which a book on 2-hour reserve at a college library is checked out by a randomly selected student and suppose that X has density function. 01/02/11 © 2010 Universitas Negeri Jakarta | www.unj.ac.id |
- 18. Probability for a Continuous rv If X is a continuous rv, then for any number c , P ( x = c ) = 0. For any two numbers a and b with a < b, 01/02/11 © 2010 Universitas Negeri Jakarta | www.unj.ac.id |
- 20. Variance and Standard Deviation The variance of continuous rv X with pdf f ( x ) and mean is The standard deviation is 01/02/11 © 2010 Universitas Negeri Jakarta | www.unj.ac.id |
- 21. Short-cut Formula for Variance 01/02/11 © 2010 Universitas Negeri Jakarta | www.unj.ac.id |