A random variable X has a probability density function f(x) A x for 3 x 4 (a) What is the value of A (b) What is the cumulative distribution function of X (c) What is the expected value of X (d) What is the standard deviation of X (e) What is the median of X (f) What is the upper quartile of X

Question: A random variable X has a probability density function f(x) = A/x for 3 < x < 4. (a) What is the value of A?

A random variable X has a probability density function f(x) = A/√x for 3 < x < 4.
(a) What is the value of A?
(b) What is the cumulative function of X?
(c) What is the expected value of X?
(d) What is the standard deviation of X?
(e) What is the median of X?
(f) What is the upper quartile of X?

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