2. The following table shows a random sample of 100 New Yorkers and their preferred restaurants: Mediterranean Asian Latin Total Female 18 16 47 Male 14 Total 31 100 a. Complete the table If a New Yorker is selected at random, find the probability that. (b) the New Yorker is either female or prefers Latin restaurants. (c ) The New Yorker is female and prefers Asian restaurants.3. Suppose you play a game of chance in which you roll two fair dice. You pay $2 to enter the game. You win 510 if you get all two dice with an even number of dots on the top face. Otherwise, you win nothing. (In case, you don't get your $2 back). (a) Over the long term, what is your expected profit of playing the game? (b) If you play this game 100 times, how much do you expect to win/lose