Mathematics 760-143
Final Exam		   Do not write on this test until
you enter Prof McFarland's office		    
________________________
PRINT name above AFTER
entering Prof's office
Answer each question by placing the proper LETTER in the blank at the left
_____[1]  The number of subsets of a set with 10 elements is:
(a) 10 (b) 100 (c) 1024 (d) 2048 (e) 512
_____[2]  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?
(a) 11 (b) 51 (c) 70 (d) 79 (e) 71
_____[3]  The slope of the line   3y - 2x - 4 = 0   is:
(a)   4
3
(b)   2
3
(c)   3
2
(d)     
 		   2
3
(e)     
 		   3
2
_____[4]  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)   13
35
(b)    4 
25
(c)   21
25
(d)      2 
5
(e)     12
35
_____[5]  A box contains 3 defective lights and 5 non-defective 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?
(a)    27 
512
(b)   5
8
(c)   125
512
(d)     3
8
(e)      1 
56
_____[6]  The inverse of the matrix  
4 3
5 4
  is:
  (a)
3 4
5 4
(b)
1/4 1/3
1/5 1/4
 
(c)
-3 -4
-4 -5
 
(d)
 4 -3
-5  4
 
(e)
-4  3
 5 -4
_____[7]  The solution set for the system  
6x + 9y = 15
4x + 6y = 10
  is best described as follows:
  (a)  undefined
(b)   x = 1
y = 1
(c) { (x,y) | y = (-2/3)x + (5/3) } (d) inconsistent (e) set of all points
_____[8]  The number of slack variables needed to solve the problem at the right is :  
  (a) 1 (b) 2 (c) 3 (d) 4 (e) 0
Maximize P = 10x + 12y
subject to:
4x + 2y 20
5x + 4y 50
2x + 3y 25
x 0 ; y 0
_____[9]  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.?
(a) 0.04
(b)   95
96
(c)    8 
25
(d) 0.125 (e) 0.76
_____[10]  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:
(a)   1
2
(b)   5
8
(c)    2 
15
(d)     2
5
(e)     10
14
Bring this exam, UNMARKED, to McCutchan Hall 317 anytime during the following times:
noon 10 PM      Monday 9 May 2016
9 AM 2 PM     Tuesday 10 May 2016
If you have not already filled out a class evaluation, you will be invited to do so when you arrive.