A pathological video game user (PVGU) is a video game user that averages 31 or more hours a week of game-play. According to an article, in 2011, about 9% of children in grades 3-8 were PVGUs. Suppose that, today, seven youths in grades 3-8 are randomly selected.Assuming the percentage of PVGUs in grades 3-8 is the same today as it was in 2011, determine the probability distribution for the number, X, who are PVGUs.Determine the mean of X.If, in fact, exactly three of the seven youths selected are PVGUs, would you be inclined to conclude that the percentage of PVGUs in grades 3-8 has increased from the 2011 percentage? Explain your reasoning. (Hint: first consider the probability P(X ≥ 3).If, in fact, exactly two of the seven youths selected are PVGUs, would you be inclined to conclude that the percentage of PVGUs in grades 3-8 has increased from the 2011 percentage? Explain your reasoning.

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Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section11.8: Probabilities Of Disjoint And Overlapping Events

Problem 2C

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A pathological video game user (PVGU) is a video game user that averages 31 or more hours a week of game-play. According to an article, in 2011, about 9% of children in grades 3-8 were PVGUs. Suppose that, today, seven youths in grades 3-8 are randomly selected.

Assuming the percentage of PVGUs in grades 3-8 is the same today as it was in 2011, determine the probability distribution for the number, X, who are PVGUs.
Determine the mean of X.
If, in fact, exactly three of the seven youths selected are PVGUs, would you be inclined to conclude that the percentage of PVGUs in grades 3-8 has increased from the 2011 percentage? Explain your reasoning. (Hint: first consider the probability P(X ≥ 3).
If, in fact, exactly two of the seven youths selected are PVGUs, would you be inclined to conclude that the percentage of PVGUs in grades 3-8 has increased from the 2011 percentage? Explain your reasoning.

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