Study guide, I want to make sure I got this question right

(4) Suppose team A and team B meet in NBA playoff and play against each other in a 7game series, whichever team wins 4 games lst would move to the next round. Assume outcomes in different games are independent, and the winning probability for A in each game is 3/ 5 (i.e. B wins a game with probability 2/5). Circle the correct answer in part (a), and show your work in part (b). (a) The probability that A sweeps B in 4 games is equal to (35 (if: 4 (if (i)- (b) Let N be the total number of games needed to nish the series and L4 be the indicator for A to wins the series. Are N and IA independent? Justify your