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Unformatted text preview: 20. A random variable X has probability density f ( x ) = (1 / 7)(1 + 2 x1 / 2 ) for 1 ≤ x ≤ 4. Find the mean and variance of X . 1 21. Suppose that baseball player salaries in units of hundreds of thousands of dollars have a probability density f ( x ) = cx9 / 4 for x ≥ 1. (a) Find the constant c to make this a probability density. (b) What fraction of players make more than 10 million dollars (100 hundred thousand) (c) Find the average players salary. (d) Find the variance. 2...
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 Spring '07
 DURRETT
 Calculus, Definite Integrals, Derivative, Integrals, Variance, Probability theory, probability density function, dx, probability density

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