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The pH of water samples from Lake Ontario is a random variable X with probability density function: f(x) = cx, 0 x < 1 c(2

The pH of water samples from Lake Ontario is a random variable X with probability density function:

f(x) = cx, 0 x < 1 c(2 x), 1 x 2 0 elsewhere

(a) Find the value of c that makes this a probability density function.

(b) Find the cumulative distribution function of X.

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