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The pdf of X is fx (x) = a + bx2 for x E [0, 1] and fx (x) = 0 for x $ [0,

The pdf of X is fx (x) = a + bx2 for x E [0, 1] and fx (x) = 0 for x $ [0, 1]. We also know that E(X) = 3/5. (a) Find a and b. (b) Write down the cdf of X. (c) Computer the variance of X. (d) Compute P(0.6 0.5)

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