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The probability distribution function for the random variable X, the lead content in a liter of...

The probability distribution function for the random variable X, the lead content in a liter of gasoline is: (a) Prove that f(x) IS a probability distribution function (b) Find the expected value of lead content in a liter of gasoline (c) Find the standard deviation of the lead content in a liter of gasoline (d) Find the equation for the cumulative distribution function of X f(x) = 12.5x – 1.25, 0.10 < x < 0.50 0, elsewhere

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