Exercise 8. McDonald's Happy Meals are child-sized burger meals that come with a toy. Assume that the toy is randomly chosen from among 5 options. I already have 2 toys. (a) What is the probability that my next happy meal comes with a toy that I don't already have? (b) What is the probability that I will have to buy 3 happy meals before I get a toy I don't already have? Explain briefly the probability distribution function that you use to answer this question. (c) What is the expected number of happy meals I will need to buy to get all 5 toys (Hint: you may assume it is the expected number I will need to buy to get a 3rd toy, plus the expected number I then need to buy to get the fourth toy, plus the expected number I need to buy to get the fifth toy).

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
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Exercise 8. McDonald's Happy Meals are child-sized burger meals that come with a toy. Assume
that the toy is randomly chosen from among 5 options. I already have 2 toys.
(a) What is the probability that my next happy meal comes with a toy that I don't already
have?
(b) What is the probability that I will have to buy 3 happy meals before I get a toy I don't
already have? Explain briefly the probability distribution function that you use to answer this
question.
(c) What is the expected number of happy meals I will need to buy to get all 5 toys (Hint: you
may assume it is the expected number I will need to buy to get a 3rd toy, plus the expected number
I then need to buy to get the fourth toy, plus the expected number I need to buy to get the fifth
toy).
Transcribed Image Text:Exercise 8. McDonald's Happy Meals are child-sized burger meals that come with a toy. Assume that the toy is randomly chosen from among 5 options. I already have 2 toys. (a) What is the probability that my next happy meal comes with a toy that I don't already have? (b) What is the probability that I will have to buy 3 happy meals before I get a toy I don't already have? Explain briefly the probability distribution function that you use to answer this question. (c) What is the expected number of happy meals I will need to buy to get all 5 toys (Hint: you may assume it is the expected number I will need to buy to get a 3rd toy, plus the expected number I then need to buy to get the fourth toy, plus the expected number I need to buy to get the fifth toy).
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for (a), I think it should be 3/5

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