1) Health officials routinely check sanitary conditions of restaurants. Assume you visit a popular tourist spot and read in the newspaper that in 3 of every 7 restaurants checked, there were unsanitary health conditions found. Assuming you are planning to eat out 10
times while you are there on vacation, answer the following questions:
a) How likely is it that you will eat at three restaurants with unsanitary conditions?
b) How likely is it that you will eat at 4 or 5 restaurants with unsanitary conditions?
c) Explain how you would compute the probability of eating in at least one restaurant with unsanitary conditions. Could you use the complement to solve this problem?
d) What is the most likely number to occur in this experiment?
e) How variable will the data be around the most likely number?
f) Is this is a binomial distribution?
g) If it is a binomial distribution, does that mean that the likelihood of success is always
50% since there are only two possible outcomes?
