Given the probability space (R, B(R)), m), where m is the probability measure induced by the uniform pdf f on [0, 1] (that is, f(r) = 1 for r ∈ [0, 1] and is 0 otherwise), find the pdf's for the following random variables defined on this space:
Where a and b are fixed constants.
(e) Find the pmf for the random variable W(r) = 3 if r ≥ 2 and W(r) = 1 otherwise.