(1) |10 marks| Bruce Lee is practicing by breaking boards with his fists. He is able to break a board with probability 0.8 and he breaks each board independently. e What is the probability that he breaks exactly 2 out of the 5 boards that are placed before him? |2 marks| e What is the probability that he breaks at least 3 out of the 5 boards that are placed before him? [3 marks| e If 10 boards are placed before him, what is the expected number of boards that he will break? [3 marks| e In order to challenge Bruce Lee, he now has to break the bricks placed before him until he fails. He can break each brick independently with probability 0.2. He starts breaking the bricks one by one, but as soon as he fails, the challenge is over. On average, how many bricks will he attempt to break before the challenge is over. [3 marks]|