Assignment:
Consider a seven-game world series between team A and B, where for each game P(A wins)=0.6
a) Find P(A wins series in x game)
b) You hold a ticket for the seventh game. What is the probability that you will get to use it?
c) If P(A wins a game)=p, what value of p maximizes your chance in b)?
d) What is the most likely number of games to be played in the series for p=0.6?
Provide complete and step by step solution for the question and show calculations and use formulas.