The probability distribution function of a study is given as f(x) = { 2x k(x² – 1)3 ;2< x< 4 ; otherwise Determine P(2.5sx<4) a. 0.9866 b. 0.8866 c. 0.08866 d. None of the above Determine the mean. а. 3.59 b. 2.59 с. 3.29 d. None of the above Determine the variance. a. 0.129 b. 6.30 c. 2.191 d. None of the above Determine the Standard Deviation а. 2.51 b. 0.359 с. 1.480 d. None of the above Determine P(x=2 ) a. 0.50 b. 0.25 С. О d. 0.75

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