This preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: Time: 1 hour Math 204 Date: October
Quiz 1
First Semester 05/06
Instructor: Mrs. Muna Jurdak Section 9 Tues. 3:30 Section 10 Tues. 2:00 Section 11 Tues. 12:30 Section 12 Tues. 11:00. Instructions:
1. Write your name and ID number clearly where indicated.
2. Circle your section number above, according to the time of the problem
solving session in which you are enrolled. 3 Solve the problems on this, the white question sheet. Use the colored sheets
for scratch work only. You may use the back of a white sheet to complete the solution of a problem. Problem I 1'10
Problem 2 /20
Problem 3 / 10
Problem 4 f15
Problem 5 I10 Problem 6 [20 Problem 7 /15 Total /100 i (10%) 1. Given the matrices, 1 6 1
—1 4 2 1 A= ,B'= , C= 0 2 , D= 0
1 5 3 1 3 1 0 Perform the following operations, if possible.
(a) A+2B (b) AC (c) CB ((1) CTD. 0 0
1 0 .
O 1 20%) 2. (a) Using the cofactor method, ﬁnd the inverseidfﬂie matrix A, 4
A=2
1 (b) Write the following system of equations in matrix form. Then solve the
system using matrices. 4x}. + X2 +2X3 = 0
2X] +5X2 = x1+2x2 +3X3= 4 (10%) 3.Using the Gaussian procedure, ﬁnd the inverse of the following matrix
A, if the inverse exists. (3 If) (15%) 4. A game consists of ﬂipping a coin followed by rolling a die. Let A = the event of getting a head and then an even number on the die.
B = the event of getting a head and then an odd number on the die.
C = the event of getting a tail and then a number 4 or more on the die.
D = the event of getting a tail and then a number 5 or less on the die. (21) Find the following probabilities:
p(A')a p(C), PUD), and MC U13)
(b) Are the events A, B, C, D (i) Mutuaily exclusive?
(ii) Collectively exhaustive? Give reasons for your answers for part (b). (10%) 5. A box contains 7 red marbles and 4 white marbles. Three marbles are
drawn from the box one after the other (without replacement). Find the
probability that the ﬁrst 2 are red and the third is white. (20%) 6. Seven squares, 4 red, 3 green, are to be arranged in a row. Find the
number ofways that this can be done: (a) if there are no restrictions
03) if squares of the same color must be next to each other. (e) If the green squares only must be next to each other. (15%)7. (a) A woman has 12 close friends. Find the number of ways that she can invite 5 of them to dinner.
(b) If two of the woman's friends are married and will not attend separately, ﬁnd the number of ways that the woman can invite 5 of her
12 friends. ...
View
Full Document
 Three '10
 RomyArbid
 Math, Blackandwhite films, Mrs. Muna Jurdak, white Question sheet

Click to edit the document details