1. Suppose 3 of the 12 bottles in a case of wine are bad. If you randomly select 2 bottles, what is the probability that a) both are good? b) both are bad? c) one is good and one is bad? 2. The probability distribution for the number of daily requests for assistance from the poison control centre is: No. of Requests 0 1 2 3 4 5 6 Probability 0.1 0.1 0.2 0.3 0.1 0.1 0.1 a) Find the expected number of requests. b) Calculate the standard deviation of these requests. 3. The probability that a final year student will pass the certified public accountant (CPA) examination is 0.60. The probability that a final year student will pass the CPA examination and get a job offer is 0.40. Suppose the student just found out that they passed the CPA examination, what is the probability of them getting a job offer? 4. In a certain Pick 3 lottery game, players pick 3 numbers from 0 to 9. The cost of the game is $200. If the 3- digit number the player chooses (they must be in the same order) is drawn, then he/she wins $100,000. What is the expected value of this game