Hello! I need help with following probability problem. Thank you in advance..!

Dr. McKinley orders a box of 2000 fair six-sided dice. She opens the box and dumps all the dice on the floor. Let X be the number of sixes that are rolled. (a) (3points) Identify the probability distribution of X by name. What are its mean and variance? (b) (5 points) Use the Central Limit Theorem to approximate the probability of rolling between 300 and 400 sixes. Express your answer in terms of the normal CDF (P