Day 61: Two Random Variables Q2

For those of you who have been following along, today we are going to post another question and in the next post we will give the solution. This will be another two random variable question and we’ve covered everything you need to solve it in our previous posts. So with that, let’s get to today’s question.*

This question is going to be yet another single function of two random variables type problem. Let’s say we have our X and Y random variables, which are independent. They have a common parameter λ. For this problem, show that

is a uniformly distributed random variable in (0,1). Hint: (0,1) is your limits for the problem!

If you don’t know where to start, I would suggest looking back to around this post and you should be good to solve. There are a few other posts around that time that would be useful to review as well. Remember, we will go over the solution in the next post, so don’t stress too much, this is just a way to get some good practice!

Until next time, don’t stop learning!

*My dear readers, please remember that I make no claim to the accuracy of this information; some of it might be wrong. I’m learning, which is why I’m writing these posts and if you’re reading this then I am assuming you are trying to learn too. My plea to you is this, if you see something that is not correct, or if you want to expand on something, do it. Let’s learn together!!