^{th}root.

Let Y be the first digit in the decimal expansion of y

^{1/n}.

E.g., Y = 3 when y

^{1/n}is in [.3, .4), etc.

Find the probability mass function P(Y = k); k = 0,...,9.

First of all, I'm confused since Y is on [0, 1]. Doesn't that mean that Y can only take on values from 0 to 1?

So why is it in the example that Y = 3?

Also, when we pick a number y, does that mean any number y in

**R**?

And then from there, I'm not quite sure how to approach this problem.