Winning streaks and losing streaks in sports are fascinating ( or perhaps frustrating) to the fan. Suppose that your favorite major basketball team, which plays 82 games a year, has probability 0.5 of winning each game it plays.

(a) Write R program to simulate the play of a 82-game season. Calculate the longest winning streak and losing streak for 50 season of play.

(b) How many of the 50 seasons had winning streaks longer than seven games?

use R, don't copy & paste please thanks