In: Statistics and Probability
. Lucie the peafowl is hiring delivery drivers for their new hummusat-home online store. There are 43 applicants, of whom 16 are goats. Lucie hires 12 drivers, including only one goat. a. What is the probability that Lucie would hire exactly one goat, assuming they don’t care if a driver is a goat or not. b. What is the probability that Lucie would hire no goats at all, assuming they don’t care if a driver is a goat or not. c. Would you consider Lucie hiring one or fewer goats unusual if they didn’t care whether the drivers were goats or not? Explain. d. Bonus Question: why is it important to include the no-goat case in answering part c?