AP Statistics A company manufactures plastic eggs, filling each egg with either a prize - a piece of candy -or no prize – a rock. Natasha’s father buys and hides dozens of the eggs in the garden. Natasha runs out and fills her basket with 10 eggs (the basket is small). Natasha’s father tells her that the manufacturer states that 67 percent of the eggs have a rock inside them. Natasha is the only person searching for eggs.

(A) Is the scenario above a binomial setting, a geometric setting, or neither? Fully justify your response, citing pertinent criteria for your answer.

(B) What is the probability that Natasha’s basket has exactly 7 eggs with rocks?

(C) What is the expected number of eggs with rocks that Natasha will have in her basket?