Please answer the questions below and show work so I understand.

There are a baseball player swings at 400 balls pitched to him. He has a 81% chance of hitting the ball. a) What is the probability that exactly 275 balls are hit?

b) What is the probability that 150 or fewer balls are hit?2 c) What is the probability that between 160 and 252 (inclusive) balls are hit?

d) What is the mean number of balls hit by this player? What is the standard deviation?