For a continuous random variable X, the number m such that P(X m) 1 2 is called the median of X (a) Find the median of an Exp() distribution (b) Give a simplified expression for the difference between the mean and the median Is the difference positive or negative

Question: For a continuous random variable X, the number m such that P(X m) = 1/2 is called the median of X. (a) Find the

For a continuous random variable X, the number m such that

P(X ≤ m) = 1/2

is called the median of X.
(a) Find the median of an Exp(λ) distribution.
(b) Give a simplified expression for the difference between the mean and the median. Is the difference positive or negative?

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