6. You have asked 500 people what their favorite ice cream flavor and TV show is
ID: 3338584 • Letter: 6
Question
6. You have asked 500 people what their favorite ice cream flavor and TV show is. The table below contains the results of your questions. Use the table to answer the following questions. Butter Pecan Mint Chocolate Chip Turtle Tracks Brook lyn-99 Supernatural Peaky Blinders 49 38 53 94 39 29 32 53 113 A) What is the probability that an individual's favorite TV show is B) What is the probability that an individual's favorite TV show is C) What is the probability that an individual's favorite flavor of ice cream in D) Are Brooklyn-99 being an individual's favorite show and Butter Pecan E) What is the probability that an individual's favorite show is Peaky Supernatural? Brooklyn-99? Butter Pecan? being an individual's favorite ice cream independent of one another? Blinder given that their favorite ice cream is Mint Chocolate Chip? Blinders and that their favorite ice cream is Turtle Tracks? that their favorite ice cream is Mint Chocolate Chip, or both? ) What is the probability that an individual's favorite show is Peaky G) What is the probability that an individual's favorite show is Supernatural,Explanation / Answer
a) P(Supernatural) = (38+39+53)/500 = 0.26
b) P(Brooklyn 99) = (49+94+32)/500 = 0.35
c) P(Butter pecaan) = (49+38+53)/500 = 0.28
d) If P(Butter pecan | Brooklyn 99) = P(Butter pecan), then they are independent
P(Butter pecan | Brooklyn 99) = 49/(49+94+32) = 0.28 = P(Butter pecan)
They are independent
e) P(Peaky blinders | Mint Chocolate chip) = 29/(94+39+29) = 0.1790
f) P(Peaky blinders | Turtle Tracks) = 113/(32+53+113) = 0.5707
g) (Supernatural union Mint Chocolate chip) = P(Supernatural) + P(Mint choclate chip) - P(Supernatural and Mint chocolate chip) = 0.26 + (94+39+29)/500 - 39/500 = 0.506
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