Math Discrete 3
Hema.700
MAT243SP19_EXb_Name.docx
MAT243FA18 — EX Part b
Due uploaded by 2359 hours AzST on Wednesday, 04/17/2019
There are 150 examination points on this test representing 15 class points. You are disallowed from asking anyone else other than me for help, as well as sharing any files or other resources; on the other hand, I will be available by email for any questions you have.
There are 3 Sections to this part of the examination:
Section 1 Short Answer 75 points
Section 2 Sets & Functions 40 points
Section 3 Probability 35 points
Before submitting your document, make sure to recheck your solutions/answers (e.g., are they properly displayed with units and the appropriate formatting?). Make sure that you are adhering to all of my course and examination requirements; once the due date/time has passed, you will have no opportunities to resubmit.
While you are not allowed to use any help other than me, you may most certainly use your own notes (unless otherwise permitted by the University, e.g., DRC) and HW (including HW solution keys), as well as the PA files and their videos.
No Outside Organic Help Other Than Me
Answers must be based on what we covered/used in class
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NO HELP ORGANIC OTHER THAN ME!
Section 1: Short Answer—Briefly answer each question in the space immediately below it; 5 pts ea.
Consider generic sets W, X, and Y, and also A = {12, -1, 6, 9}, B = {1, -1, 3, 6}, C = {-1, 6, 3}
1. Generically, what does P(X) represent?
Answer Here
2. Generically, what does | Y | represent?
Answer Here
3. (15 pts) RE #2 : Then, generically , | Y | = what value?
Answer Here
4. (10 pts) Let W = P(Y) W Y }; | Y | - | W | = ? Work this out on your own paper and report below.
Answer Here
5. There are two subsets that all sets possess; list one (words or symbols).
Answer Here
6. Let N = P({}); | P( P( P( N))) | = ?
Answer Here
7. All cardinalities are what kind of integer?
Answer Here
8. It is claimed that 4098 is the cardinality of a power set:
Highlight: Yes or No -- Could 4098 be the cardinality of a set?
Briefly: Why or why not? Answer below
Answer Here
If it can be determined (if not, type in CBD), which of the above sets, A, B, C, is the:
8. Domain?
Answer Here
9. Range?
Answer Here
10. Codomain?
Answer Here
Section 2: Sets & Functions—Answer the following 5 questions where indicated; 5 pts each.
M = {m | m {2k} k {Z}) m > 0}
T = {t | t ({2k + 1} k {Z}) t > 0}
H = {h | h [-2, 3) }
D = {d | d {-2, -1, 0, 1, 2, 3} }
1. Per Mr. Ulrich, the set that is constructed from M T is called . . . ? hint
Answer Here
that’s Bela Lugosi
List the following resulting sets; make sure that they are denoted in set notation:
2. M T = ?
Answer Here
3. H D = ?
Answer Here
4. T H D = ?
Answer Here
Determine each of the following. Report either as an integer or to 3 decimal places. 5 pts each:
5. -2e = ?
Answer Here
6. 2e = ?
Answer Here
7. 2 MOD e = ?
Answer Here
8. e MOD 2 = ?
Answer Here
BL (10 pts) | | MOD | | = ?
Answer Here
Section 3: Probabilities—Report all applicable answers to 4 decimal places; 5 pts each:
K = {k | k {-2, 0, 2, 4}}
Q = {q | q {-2, -1, 0, 1, 2, 3}}
Let K S2, Q S2 S2 = {s | s {-10, -9, -8, ...., 8, 9, 10}} <careful: note the defined pattern>
1. (10 pts) | S2 | = ?
Answer Here
Based on your answer to #1:
2. Pr(K) = ?
Answer Here
3. Pr(Q) = ?
Answer Here
4. Pr(K and Q) = ?
Answer Here
5. (10 pts) Pr(K or Q) = ?
Answer Here
The Great Ceiling Flood of ‘15
You know, we were meaning to replace that fan anyway . . .
03/31/2015
