please answer the following question

3. You are one of n players sharing a house. At 3 am the house dog barks outside wanting to be let in. You can choose to get up or ignore the barking. Your payoffs are as follows: Your strategy All others ignore At least one other player gets up Get up 8 6 Ignore 4 11 (a) Is there a pure strategy equilibrium? If so, nd it and show itis an equilibrium (b) Is there a mixed strategy equilibrium with each player choosing get up and ignore with positive probabilities? Find it, if there is one