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).

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).

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

**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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