The discrete random variable K has the following PMF:(adsbygoogle = window.adsbygoogle || []).push({});

p(k) = { 1/6 if k=0

2/6 if k=1

3/6 if k=2

0 otherwise

}

Let Y = 1/(1+K), find the PMF of Y

My attempt:

So, I am really confused about what this is asking.

I took all of my possible K values {0, 1, 2} and plugged them in to the formula for Y to get:

Y = {1,1/2,1/3}

Then the only Y value that is also a K value is 1 so:

p(y): {1 if y=1

0 ptherwise

}

This does not look right to me.

Am I approaching this the right way?

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# Finding the PMF of a function of a discrete random variable

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