Mathematics 760143 Final Exam 
Do not write on this test until you enter Prof McFarland's office 
________________________ PRINT name above AFTER entering Prof's office 

The number of subsets of a set with 10 elements is:  


Last Monday, the county jail had 200 prisoners. Of these, 130 were accused of felonies, and 121 were accused of misdemeanors. How many prisoners were accused of both a felony and a misdemeanor?  


The slope of the line 3y  2x  4 = 0 is:  


In a class of 15 people, exactly 3 got an A. If 2 people are randomly chosen from this class, what is the probability that at least one of these 2 got an A ?  


A box contains 3 defective lights and 5 nondefective lights. The lights are tested one at a time without replacement. What is the probability that the 3 defective bulbs will be found in the first 3 tests?  


The inverse of the matrix 

is: 
(a) 

(b) 

(c) 

(d) 

(e) 







A medical test detects H.I.V. Among those who have H.I.V., the test will detect the disease with probability 0.95; among those who do NOT have H.I.V., the test will falsely claim that H.I.V. is present with probability 0.0125. Among those who take this test, 4% have H.I.V. The test is given to Lucille Jones, and indicates that she has H.I.V. What is the probability that Lucille actually has H.I.V.?  


The probability that both Barb and Bob are both on the same committee of 4 which is chosen from their class of 10 people is:  
