Hello, could you help with this please? Thank you!

A chess player playing with white pieces will win any game with probability 0.4, draw with probability 0.4 and lose with probability 0.2. The same probabilities when she plays with black pieces are 0.2, 0.5 and 0.3. Before each game a fair coin is tossed to decide whether she will play with the white pieces or the black pieces. Hence the probability she plays with either colour pieces is 0.5.

Question: Let N denote the number of wins she will score in the next 10 games. Calculate E(N) and Var(N). (4 marks)