Explore BrainMass

Independent random variables

1. A coin is tossed 3 times. Discrete random variable X is equal to the number of times Heads comes up. Discrete random variable Y has the value 1 if the first toss comes up heads and 0 otherwise.
(a) Find Pr[(X=1)n(y=1)]
Are X and Y independent random variables?

Solution Preview

Solution. We can get joint cmf as follows

X 0 1 2 3

Solution Summary

This shows how to determine if two variables are independent random variables.