Define the random variable Y on [0, 1] as follows. Pick a number y at random, and take its nth root.
Let Y be the first digit in the decimal expansion of y1/n.
E.g., Y = 3 when y1/n is in [.3, .4), etc.
Find the probability mass function P(Y = k); k = 0,...,9.
First of all, I'm confused...