9_19_11 - Mean, Variance Andrew Liu September 19, 2011...

Info iconThis preview shows pages 1–11. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Mean, Variance Andrew Liu September 19, 2011 Andrew Liu Mean, Variance Midterm Exam 1 Review Andrew Liu Mean, Variance Midterm Exam 1 Review Quiz 2 9/23 (This Friday.) Covers 3-1 3-4. Andrew Liu Mean, Variance Review of Mean and Variance: 2-dice-throw example 0 1/36 1/18 1/12 1/9 5/36 1/6 7/36 2 3 4 5 6 7 8 9 10 11 12 Probability Range of Random Variable Probability Mass Function Andrew Liu Mean, Variance Review of Mean and Variance: 2-dice-throw example 0 1/36 1/18 1/12 1/9 5/36 1/6 7/36 2 3 4 5 6 7 8 9 10 11 12 Probability Range of Random Variable Probability Mass Function E ( X ) = 2 * 1 36 +3 * 1 18 +4 * 1 12 + +12 * 1 36 = Andrew Liu Mean, Variance Review of Mean and Variance: 2-dice-throw example 0 1/36 1/18 1/12 1/9 5/36 1/6 7/36 2 3 4 5 6 7 8 9 10 11 12 Probability Range of Random Variable Probability Mass Function E ( X ) = 2 * 1 36 +3 * 1 18 +4 * 1 12 + +12 * 1 36 = 7 ( make sense ?) . Andrew Liu Mean, Variance Review of Mean and Variance: 2-dice-throw example 0 1/36 1/18 1/12 1/9 5/36 1/6 7/36 2 3 4 5 6 7 8 9 10 11 12 Probability Range of Random Variable Probability Mass Function E ( X ) = 2 * 1 36 +3 * 1 18 +4 * 1 12 + +12 * 1 36 = 7 ( make sense ?) . V ( X ) = E ( X 2 )- [ E ( X )] 2 = 2 2 * 1 36 + 3 2 * 1 18 + + 12 2 * 1 36- 7 2 5 . 83 . Andrew Liu Mean, Variance Review of Mean and Variance: 2-dice-throw example 0 1/36 1/18 1/12 1/9 5/36 1/6 7/36 2 3 4 5 6 7 8 9 10 11 12 Probability Range of Random Variable Probability Mass Function E ( X ) = 2 * 1 36 +3 * 1 18 +4 * 1 12 + +12 * 1 36 = 7 ( make sense ?) . V ( X ) = E ( X 2 )- [ E ( X )] 2 = 2 2 * 1 36 + 3 2 * 1 18 + + 12 2 * 1 36- 7 2 5 . 83 . ( X ) 2 . 42 . Andrew Liu Mean, Variance Examples (cont.) Given a random variable X . Suppose its probability mass function is given as follows. f ( x ) = ( 8 7 )( 1 2 ) x , x = 1 , 2 , 3 . Calculate E ( X ) . Andrew Liu Mean, Variance Examples (cont.) Given a random variable X . Suppose its probability mass function is given as follows....
View Full Document

This note was uploaded on 01/28/2012 for the course IE 230 taught by Professor Xangi during the Winter '08 term at Purdue University-West Lafayette.

Page1 / 33

9_19_11 - Mean, Variance Andrew Liu September 19, 2011...

This preview shows document pages 1 - 11. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online