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Unformatted text preview: f ( x ) = cx < x < 2 otherwise (f) Find E( X ) (g) Find Var( X ) Percentiles of a continuous probability distribution: • The p th percentile of the distribution is the value x p such that p % of the population values are less than or equal to x p . (0 ≤ p ≤ 100) • If X is a continuous r.v. with pdf f ( x ), the p th percentile of X is the point x p which solves the equation F ( x p ) = P ( X ≤ x p ) = I x p∞ f ( x )d x = p 100 . • Median is the 50th percentile ( p = 50). In the above equation, solve for x p by putting p = 50. 3 Ex2 : Suppose that X has the following distribution. f ( x ) = . 10 0 < x < 10 otherwise (a) Find E( X ). (b) Find Var( X ). (c) Find F ( x ). (d) Find the median. 4...
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 Spring '08
 Kyung
 Statistics, Normal Distribution, Probability, Probability distribution, Probability theory, probability density function

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