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In: Statistics and Probability

Data collected by the Substance Abuse and Mental Health Services Administration (SAMSHA) suggests that 68.1% of...

Data collected by the Substance Abuse and Mental Health Services Administration (SAMSHA) suggests that 68.1% of 18-20 year olds consumed alcoholic beverages in 2008.

(a) Calculate the probability that exactly 5 out of 11 randomly sampled 18- 20 year olds consumed an alcoholic drink.


(b) What is the probability that exactly 6 out of 11 18-20 year olds have not consumed an alcoholic beverage?


(c) What is the probability that at most 2 out of 6 randomly sampled 18-20 year olds have consumed alcoholic beverages?


(d) What is the probability that at least 1 out of 6 randomly sampled 18-20 year olds have consumed alcoholic beverages?



We now consider a random sample of 50 18-20 year olds.
(e) How many people would you expect to have consumed alcoholic beverages?


And with what standard deviation?


(f) What is the probability that 44 or more people in this sample have consumed alcoholic beverages? (round to 4 places)

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