PART 1 a} A clinic is interested in whether a patient has liver disease if they are alcoholic. Twenty percent of the people coming to the clinic have liver disease. Fifteen percent of the patients are considered to be alcoholic. Of the patients with liver disease 1'? percent are alcoholic. [fa patient is alcoholic. their probability of having liver disease is? PART 2 Please note this section is independent am Part I b} There are '? scratch and win tickets left at the local convenience store. We know that one in four tickets wins a free ticket. What is the probability that there is one or less tickets that win a free ticket? c) If there are 15 tickets le at the convenience store, what is the probabilily that more than 7' will win a free ticket. Use tables for the answer. d) Which of the following statements is incorrect? i) In the binomial theorem, the trials are independent. ii) We denote the probability of success as P iii} In the binomial table, the probability shown is of a specic number of successes iv) 0!=1