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Question 7) (10 points) NOTE: This problem consists of two UNRELATED problems. Parts (a)/(b) are related and so are parts (c)/(d)/(e)/(f)/(g)/(h) but (a)/(b) are separate from (c)/(d)/(e)/(f)/(g)/(h). The best free throw shooter in NBA history is Stephen Curry who has made 91% of his free throw attempts. Assume each free throw attempt is independent. Suppose you watch Stephen Curry shoot 16 free throws. (a) Calculate the probability that he makes exactly 11 of the 16 free throws. (b) Calculate the probability that he makes more than 14 of the 16 free throws. Now suppose you have a box of cookies. Inside the box you have: 18 Chocolate Cookies (8 Circle-shaped, 6 Heart-shaped, 4 Bear-shaped) 15 Vanilla Cookies (4 Circle- shaped, 8 Heart-shaped, 3 Bear-shaped) Suppose you draw one cookie from the box at random: (c) P(Cookie is Heart-shaped) = (d) P(Cookie is Chocolate AND Bear-shaped) (e) P(Cookie is Vanilla OR Circle-shaped): = = (f) P(Cookie is Chocolate | Cookie is Bear-shaped) = (g) P(Cookie is Heart-Shaped | Cookie is Vanilla) = Now suppose you draw two cookies from the box at random without replacement. (h) P(Both Cookies are Chocolate): =
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