In: Statistics and Probability
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)