Question: For the first b.) suppose a die is rolled one time. let event A = roll a 1 and event B = roll an even

For the first b.) suppose a die is rolled one time. let event A = roll a 1 and event B = roll an even

(b) Are A and B are independent? Why? Use one of the mathematical checks for independence. 4. Suppose that 20% of UI students smoke (S), while 30% drink alcohol (A). In addition, 15% smoke and drink alcohol. (a) Given that a student drinks alcohol (A), determine the probability that he/she smokes (S), i.e. find P(S|A). ( @) (b) Are alcohol use and smoking independent? Why? Use one of the mathematical checks for independence. 5. Suppose a die is rolled. Consider the following events: A = 2, 4 or 6 is rolled B = 1,2 or 5 is rolled C = 3 or 5 is rolled (a) Are A and B are mutually exclusive? Why? (b) Are A and C are mutually exclusive? Why? (c) Find P( A|B)

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