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Discrete Random Variable
- 1. DISCRETE RANDOM VARIABLE PRESENTEDBY MOHAMMAD ABDULLAH AL MAYIN ID:152-33-2629 (EEE 213)
- 2. CONTENTS I. Discrete randomvariable II. Classification of discrete random variable: III. Probability mass function IV. Cumulative distRibution function V. Expectation ,variance & standerd daviation of drv
- 3. A discrete randomvariable: l has a countable number l has a finite value. NOW COUNT THE NUMBER OF GIRLS IN EACH SET OF FOUR SEQUENTIAL BIRTHS: BBBB (0) BGBB (1) GBBB (1) GGBB (2) BBBG (1) BGBG (2) GBBG (2) GGBG (3) BBGB (1) BGGB (2) GBGB (2) GGGB (3) BBGG (2) BGGG (3) GBGG (3) GGGG
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- 6. xiall iPKXPKF )()()( The cumulativedistribution function, F(x), of a discrete random variable X is: CUMULATIVE DISTRIBUTION FUNCTION FIG 1
- 7. 543210 1.Sum of probabilityof each value of the random variable 2.After average all probability E X xP x all x ( ) ( ) x P(x) xP(x) 0 0.1 0.0 1 0.2 0.2 2 0.3 0.6 3 0.2 0.6 4 0.1 0.4 5 0.1 0.5 1.0 2.3 = E(X) = m EXPECTED VALUES OF DISCRETE RANDOM VARIABLES • FIG 2
- 8. The variance ofa random variable is the expected squared deviation from the mean: The standard deviation of a random variable is the square root of its variance: )()( XVXSD VARIANCE AND STANDARD DEVIATION OF A RANDOM VARIABLE
- 9. CONCLUSION In bottom lineI want to say: Random variable is major factor in engineering. Discrete random variable is a part of random variable.So it’s importance is very high.We can learn it perfectly.
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