In a certain population, 30% are smokers and 60% of the smokers will develop 	emphysema.  What is the probability that a person, chosen at random from this 	population will develop emphysema (assume that only smokers will develop 	emphysema)?
		The following table gives the breakdown (by standing and college) of students at a 	certain university.  A student is chosen at random.  If the student is in the Engineering 	College (E), what is the probability the student is a junior?  If the student is a senior, what 	is the probability the student is in the Business College (B)?  If the student is a freshman, 	 	what is the probability that the student is in A&S (A) or (B)?  If the student is in (A) or 	(B), what is the probability that the student is a freshman?  If the student is a freshman or 	a senior, what is the probability that the student is not in (A)?

A&S		Business	Engineering
   	Freshman    	500		300		250
	Sophomore	490		297		240
	Junior		485		295		235
	Senior		483		295		233

		Can there be events A and B such that p(A∩B) > p(A)p(B)?  If so, give an example.  If 	not, why not?
		Airport security screens baggage for a certain substance using both a detection apparatus 	and a trained dog.  Experience has shown that if the substance is present, the apparatus 	will detect it with probability .88 and the dog will detect it with probability .79.  Assume 	that the functioning of the apparatus is independent of the behavior of the dog, and 	assume that the substance is present in a piece of baggage.  What is the probability that it 	will be detected by both the apparatus and the dog?  What is the probability that it will be 	detected by at least one of the apparatus and the dog?  If we now also assume that the dog 	is only used to screen baggage which has been “passed” by the apparatus, what is the 	probability that bag in which the substance is present is detected by the dog?
		Do exercise 32 on p.88~89 of the textbook.