Question: You have a table showing the values and the probabilities corresponding to a discrete variable X: X by: P(X) 0 1 5 1 5

You have a table showing the values and the probabilities corresponding to

You have a table showing the values and the probabilities corresponding to a discrete variable X: X by: P(X) 0 1 5 1 5 2 k - 5 3 0 4 1 - 5 (i) Find the value of k (ii) Find mean (iii) Find Variance (iv) Find Standard Deviation (SD) (v) Find Expected value E(X) (vi) Find Coefficient of Variation (CVar) Suppose that X is a continuous random variable whose probability density function is given f(x) = {k(1+x); 1 x 1 0 otherwise (i) Find the value of k (ii) Find Mean (iii) Find Variance (iv) Find standard deviation SD (v) Expected Value E(X) (vi) P(0.2 x 0.4)

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