1. Your are getting ready for your sister's birthday party. You will need to blow balloons to decorate the living room, and you find out, that you have only 12 left from your last party. Usually one out of 6 balloons is defective. a. Explain why this situation can be modeled by a binomial distribution (use a proper terminology and specific details) b. Explain what is the meaning of success in this situation c. What is the probability of success? d. Explain what simulation you can use, to predict the expected number of defective balloons (the simulation should help you model the same probability of success for each trial) e. What is the probability that you will not get more that 2 defective balloons? f. What is the probability, that all the balloons will be good, except for the last one