In: Statistics and Probability
34% of Letecia’s goats over the age of 5 have attended some
college classes. Consider a random sample of 15 of Letecia’s goats
over the age of 5.
a. Describe the population in this scenario. Be specific.
b. How large does the population need to be to assume
independence?
c. Describe the variable in this scenario. What kind of a variable
is it?
d. Supposing the population is larger than the minimum you found in
part b, can this scenario be modeled by a binomial distribution? If
not, why not?
e. What is the probability that exactly 4 of the goats in the
sample have attended some college classes?
f. What is the probability that at least 12 of the goats in the
sample have attended some college classes? Would you consider this
unusual?
g. How many of the goats in the sample would you EXPECT to have
attended college classes?