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Calculate the value of k so that fx is a valid

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Reference no: EM132845622

Suppose that X is a random variable with probability density function given by: fx(x) = k(x' +2), 05x - 2; 0, otherwise. (Note that you must determine the value of the constant / in part 1 below and use it in all subsequent parts of this problem.)

1. Calculate the value of k so that fx is a valid probability density function.

2. Having found k, state the cumulative distribution function Fx. (Express your answer as a piecewise-defined function.)

3. Calculate the probability P[X & 1].

4. Calculate Ex, the expected value of X.

5. Calculate o?, the variance of X.

Reference no: EM132845622

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