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In: Statistics and Probability

34% of Letecia’s goats over the age of 5 have attended some college classes. Consider a...

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?

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