A student decided to randomly choose answers when he take a quiz. There are 6 multiple choice questions. Each question has 4 possible choices, but only one of them is correct. One question being answered correctly or not will not affect other questions. Variable X is defined as Number of questions being answered correctly out of the 6 questions in the quiz.

(1) (2pts) Identify the distribution of the variable X. (Include both distribution name and parameters).

(2) (2pts) What is the probability that exactly 2 questions are answeredCORRECTLY?(No points will be given without steps)

(3) (2pts) What is the probability that exactly 5 questions are answeredINCORRECTLY?(No points will be given without steps)