Mat HW4 A,B

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MAT243FA17_EXb_Name.docx

MAT243FA17 — EX Part b

Due uploaded by 2359 hours AzST on Tuesday, 11/28/17

There are 100 exam points on this test representing 10 class points. This is your only document. You are disallowed from asking anyone else other than me for help, as well as share any files or other resources; on the other hand, I will be widely available by email for any questions you may have.

There are 3 Sections to this part of the examination:

Section 1 Short Answer 60 points

Section 2 Sets 20 points

Section 3 Probability 20 points

Before submitting, make sure to recheck your solutions/answers (e.g., are they properly displayed with units and the appropriate number of decimals?). 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.

In some cases, you will have to build your own model. You may certainly reuse any models already available to you, whether on this examination, or in a previous HW or solution set.

No Outside Help Other Than Me

Answers must be based on what we covered in class

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NO OUTSIDE HELP OTHER THAN ME!

Section 1: Short Answer—Briefly answer each question in the space immediately below it; 5 pts ea.

Consider generic sets X, Y, and Z, and then also A = {2, 4, 6, 9}, B = {-1, 1, 3, 6}, C = {-1, 3}

1. Generally, to what does the nomenclature ‘P(X)’ refer?

Answer Here

2. Generally, to what does ‘| X |’ refer?

Answer Here

3. If it can be determined, then, generically, | Z | = ?

Answer Here

4. Let { Y | Y = P(Z) Y Z } | Y | - | Z | = ?

Answer Here

5. What do all sets possess? (words or symbols)

Answer Here

6. (5 pts each) Let N = P({})

| { } | =

| N | =

| P( P( P({}))) | =

7. What value does Dr. Elledge say is included in Counting Numbers that Dr. Ulrich argues does not belong?

Answer Here

If it can be determined, which of the above sets, A, B, C, is the:

8. Domain?

Answer Here

9. Range?

If any of these cannot be determined, then type in “CBD”

Answer Here

10. Codomain?

Answer Here

Section 2: Sets—Given the these sets, answer the following where indicated in each case; 4 pts each:

W = {x | x even Z+}

T = {x | x even Z+ x > 0}

H = {x | x [-2, 4) }

D = {x | x {-2, -1, 0, 1, 2, 3}}

1. What is another (simpler) name (label) for W T? hint: that’s Bela Lugosi

Answer Here

2. What is the smallest non-negative even number?

Answer Here

List the following resulting sets:

3. W T =

4. H D =

5. W H D =

Section 3: Probabilities—Report all answers to 4 decimal places; consider again; 3 pts each:

W = {x | x even Z+}

T = {x | x even Z+ x > 0}

H’ = {x | x {-2, 0, 2, 4}} Note change to set

D = {x | x {-2, -1, 0, 1, 2, 3}}

Let S2 = {x | x {-10, -9, -8, ...., 8, 9, 10}} <careful; use the defined pattern>

1. | S2 | = ?

Answer Here

Based on your answer to #1:

2. Pr(H’) = ?

Answer Here

3. Pr(D) = ?

Answer Here

4. Pr(H’ and D) = ?

Answer Here

5. Pr(H’ OR D) = ?

Answer Here

6. (5 pts)

Answer Here

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