11 The distribution function of a random variable X is given by F (x) arctan x 2 , x Determine the constants and and the density function of X

Question: 11. The distribution function of a random variable X is given by F (x) = + arctan x 2 , < x

11. The distribution function of a random variable X is given by F (x) = α + β arctan x 2 , −∞ < x < ∞. Determine the constants α and β and the density function of X.

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