We're almost there!

One more class!

Tomorrow we will do some more classwork practice with geometric/binomial probability and we'll answer any remaining questions we have!

No (official) homework tonight. However, tomorrow in class I will provide an answer key to some practice problems. It might be a good idea to try them out tonight so you know if you have questions to ask tomorrow! The questions are listed below.

Binomial/Geometric Practice!

According to the 2011 U.S. Census, 20.1% of Americans (aged 5+) speak a language other than English at home.

a. How many Americans would you expect to survey before you find the first person who speaks a language other than English at home?

b. What is the probability that the first person who speaks a language other than English at home is the 50^th person surveyed?

c. If you sample 800 Americans aged 5+, what is the probability that exactly 200 speak a language other than English at home?

d. If you sample 800 Americans aged 5+, what are the expected number of people who speak a language other than English at home? With what standard deviation?

e. With a sample of 800 Americans have we met the 10% condition? Explain.

f. What is the probability that the first person who speaks a language other than English at home is surveyed 8^th, 9^th, or 10^th?

g. What is the probability that among 1,000 surveyed Americans (age 5+) exactly 999 speak a language other than English at home?

 

h. What is the probability that in a sample of 5 Americans at least 2 speak a language other than English at home?

 

i. What is the probability that in a sample of 5 Americans at most 4 speak a language other than English at home?

j. What is the probability that in a sample of 1,000 Americans (age 5+) at least 100 speak a language other than English at home?

k. What is the probability that in a sample of 1,000 Americans (age 5+) at most 100 speak a language other than English at home?