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

Consider a random variable X with probability density function f(x) = c|x| (where |x| is the absolute value of x), for 2 x 2 and f(x) = 0 otherwise. (a) Is X a continuous random variable or a discrete random variable?

(b) What should be the value of c?

(d) What is the variance of X?

(e) What is the probability P(X < 10)?

(f) What is the probability P(X = 0)?

(g) What is the probability P(X > 10)?

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