Assignment:
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?
Provide complete and step by step solution for the question and show calculations and use formulas.