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Consider a random variable X with probability density function f(x) = c|x| (where |x| is the absolute value of x), for - 2pie

Consider a random variable X with probability density function f(x) = c|x|

(where |x| is the absolute value of x), for -2pie <= x <= 2pie

and f(x) = 0 otherwise.

What is the variance of X?

What is the probability P(X < 10)?

What is the probability P(X = 0)?

What is the probability P(X > 10)?

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