On the TV show Hell's Kitchen, a group of chefs attempt to complete a dinner service under the exacting supervision of chef Gordon Ramsay. One evening, Ramsay hands out comment cards to the diners and asks their opinion of the food and whether or not they would be willing to pay $75 for the meal they were served. The data is below. If you pick a diner at random from this population, compute: (write answers as fractions)

P(E), the probability the diner found the food excellent.
8/9

Incorrect: Your answer is incorrect.

P(E or Y).

P(D|N).

P(N|D).

P(E and Y).

P(E) times P(Y|E).

Would pay?

Yes(Y) No(N)

Rating of food

Excellent(E) 40 5

Good(G) 25 15

Dog's Dinner (D) 1 14