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--- | ||
title: Underage drinking, Part II | ||
topic: Distributions of random variables | ||
author: Larry Gu | ||
source: original | ||
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params_vars_title: Underage drinking, Part II | ||
params_n: 60 | ||
params_k: 54 | ||
params_mu: 42.0 | ||
params_sig: 3.55 | ||
params_Z: 3.38 | ||
params_Z4: 3.24 | ||
params_p4: 0.0006 | ||
--- | ||
# {{ params_vars_title }} | ||
About $70$% of 18-20 year olds consumed alcoholic beverages in any given year. We now consider a random sample of ${{params_n}}$ 18-20 year olds. | ||
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## Part 1 | ||
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How many people would you expect to have consumed alcoholic beverages? | ||
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## Part 2 | ||
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And with what standard deviation? Round to 2 decimal places. | ||
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## Part 3 | ||
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Would you be surprised if there were ${{params_k}}$ or more people who have consumed alcoholic beverages? Explain with Z-score. | ||
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## Part 4 | ||
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What is the probability that ${{params_k}}$ or more people in this sample have consumed alcoholic beverages? | ||
Use normal approximation and 0.5 correction. Round to 4 decimal places. | ||
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## Attribution | ||
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Problem is from the [OpenIntro Statistics](https://openintro.org/book/os/) textbook, licensed under the [CC-BY 4.0 license](https://creativecommons.org/licenses/by/4.0/).<br>![Image representing the Creative Commons 4.0 BY license.](https://raw.githubusercontent.com/firasm/bits/master/by.png) |