Mathematics 760-143Final Exam Do not write on this test until you enter Prof McFarland's office ________________________PRINT name above AFTERentering 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) 43
 (b) 23
 (c) 32
 (d) 23
 (e) 32
_____[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) 1335
 (b) 4 25
 (c) 2125
 (d) 2 5
 (e) 1235
_____[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) 58
 (c) 125512
 (d) 38
 (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 = 154x + 6y = 10
is best described as follows:
(a)  undefined
 (b) x = 1y = 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 + 12ysubject 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) 9596
 (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) 12
 (b) 58
 (c) 2 15
 (d) 25
 (e) 1014
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.