The median of a random variable X is defined as any number m that satisfies both of the following conditions:

Note that the median of X is not necessarily unique. Find the median of X if

a. The PMF of X is given by

b. X is the result of a rolling of a fair die.

c. X ∼ Geometric(p), where 0

Transcribed Image Text:

P(X ≥ m) ≥ 1 and P(X ≤m) ≥ 1