A cereal company is putting 1 of 3 prizes in each box of cereal. The prizes are evenly distributed so the probability of winning any given prize is always 1/3. Adam wonders how many boxes he should expect to buy to get all 3 prizes. He carried out 32 trials of a simulation and his results are shown below. Each dot represents how many boxes it took to get all 3 prizes in that trial. 3 4 5 6 7 8 9 10 11 12 13 # of boxes purchased

A cereal company is putting 1 of 3 prizes in each box of cereal. The prizes are evenly distributed so the probability of winning any given prize is always 1/3. Adam wonders how many boxes he should expect to buy to get all 3 prizes. He carried out 32 trials of a simulation and his results are shown below. Each dot represents how many boxes it took to get all 3 prizes in that trial. 3 4 5 6 7 8 9 10 11 12 13 # of boxes purchased

Name: A cereal company is putting 1 of 3 prizes ineach box of cereal. The p
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Description: A cereal company is putting 1 of 3 prizes ineach box of cereal. The prizes are evenlydistributed so the probability of winning anygiven prize is always 1/3.Adam wonders how many boxes he shouldexpect to buy to get all 3 prizes. He carried out32 tria

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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Concept explainers

2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.

Topic Video

Question

A cereal company is putting 1 of 3 prizes in
each box of cereal. The prizes are evenly
distributed so the probability of winning any
given prize is always 1/3.
Adam wonders how many boxes he should
expect to buy to get all 3 prizes. He carried out
32 trials of a simulation and his results are
shown below. Each dot represents how many
boxes it took to get all 3 prizes in that trial.
3
4
5
7
8
9 10 11 12 13
# of boxes purchased
Use his results to estimate the probability
that it takes 9 or more boxes to get all 3
prizes.
Give your answer as either a fraction or a
decimal.
P(9 or more boxes)

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