3. Edward A. Mouse has just finished his brand new house. The floor plan is shown below: a. Edward wants to give a tour of his new pad to a lady-mouse-friend. Is it possible for them to walk through every doorway exactly once? If so, in which rooms must they begin and end the tour? Explain. b. Is it possible to tour the house visiting each room exactly once (not necessarily using every doorway)? Explain. c. After a few mouse-years, Edward decides to remodel. He would like to add some new doors between the rooms he has. Of course, he cannot add any doors to the exterior of the house. Is it possible for each room to have an odd number of doors? Explain.

Q: Let U = {1,2,3,4,5), A = {1,3,5}, B = {1,3,4), and C = {2,3,5). (a) Find A U (BUC). (b) Find (AUB)…

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Q: EXAMPLE 1 Parallel vectors Using Figure 13.6a, write the following vectors in terms of u or v. a. PO…

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Q: 200 402 -200 15 egual to: B) 20 d) e) None Al 12 u -2 1804 -400

A: To evaluate: 10-112002-1402-200 Matrix multiplication for order 2 matrix is defined as…

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Q: Based on Venn diagram answer following questions. List the elements of (AUB)' A B 3 2 (AUB)'={7,9}…

A: (A∪B)′={2,4} Option B is correct. Explanation:

Q: 6. Let A = {a, b, c, d, e} and B = {a, b, c, d, e, f, g, h}. Find a) AU B b) AN B c) A - B d) B- A.

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Q: (c) Doe s GCD(8 20 14). CM(8 20 14) =8. 20. 142

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A: Conditional Probability : Probability of event A when given B has happened P(A|B)=P(A∩B)P(B)

Q: Let o=(1,2,5,4)(2,3) e S, then the index of (o) in S; is a) 20 b) 24 c) 22 d) 21

A: Consider the given information. σ=1,2,5,42,3∈S5 Given sigma is defined as, σ=1234523514 Now, find…

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Q: 13 - 4 (1 -3 4) 0 6 = ? -1 5 a) (-2 6) -2 b) -2 (6 ) 1 0 d)

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Q: 51 57 21 If P(A)= P(B)= and P(A/B)=. then P(B/A)= 100 100 43 43 a) 78 b) 17 26 22 17 10 d) 10 22 19

A: From the provided information,

Q: 0-2 1 -2 0 0 0 duced echelon form of the augmented matrix [A b] i 1 (a) Express the general solution…

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Q: 1. If astudent is chosen randomly, what is the probability that he or she is not in any of the se…

A: here define events and draw venn diagram  student takes Spanish language= S student takes German…

Q: Question 2 a) True P(A|B)P(B) + P(A|B)P(B) = P(AUB) - P(ANB) b) False

A: Step 1:Step 2: Step 3: Step 4:

Q: (A1+A2+A3+ +An)" = a) Af + A + A +..+ A b) A +A1+.+A + Af n-1 c) A+ A 2+.+ A + Af d) A + A-1+ .+ A +…

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Q: Question 11 R= [(a1, b1), (a1, b2)} s={(b1, c1 ), (b2, c1), (b1, c3 ), (b2, c2)] What is ROS? O (al,…

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Q: Question 3 lecture is online". Write down, Given the statement: "If the tube strike happens then th-…

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Q: ds 2.) S. 2s – s2

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Q: could you explain if option 14 is correct: the one attached

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Q: 10 If A= 20 20 20 o and B –201 40 -20! -10. Find: а) А+В b) A-B с) А.В

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Q: Question 1: Prove the following identifies: a) A-V AV.

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Q: 3) What is equivalent to 40? A) 2/20 B) 4/10 C) 10/2 D) 2/10

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Q: Section 2.2 as) Given: mく3 > m<4 a Prove FH is not I to EG H.

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Q: Question 3 Determine what rule of replacement was used: ((~A ·B) · (C v D)) V (~ ( ~ A · B) · ~ (C V…

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Q: When m = = 1, 2 4 (1 : 3) (² : 1) (² : 5). . m (m + 2) · 5) = (m + 4) (m + 3) =

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Q: 14 Which one of the followings is reduced row echelon form? T1 4 6] 0 0 [1200] 0 0 1 7

A: To find which are reduced row echelon form

Q: True or false (you must giving convincing reasoning to support your claim) { 1 , 2 } ∈ { { 1 , 2 ,…

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Q: If P (B) = 1/4, P (A ∪ B) = 1/2 and P (A|B) = 2/3, then which of the following statements is true?…

A: GivenP(B)=14P(A∪B)=12P(A|B)=23

Q: Question 26 (A - B) u (C - B) = O (A- C)u B

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Q: 3.58 With reference to Figure 3.13, fin (a) P(A|B); (b) P(B|C); (c) P(ANB|C);

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a…

Q: 2. Calculate -330. Show all work. (Recall that o-330 = (0-1)330)

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Q: P(X=x) 0,10 0,20 0,30 0,40 X 3 4 18 - 5 P(3 s X <4)= ??? O A) 0,30 B) 0,20 C) 0,50 D) 0,40 O E) 0,10

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Q: 1 41 7, then prove that A = A. -8 4 7. If A = 4 4 1

A: Given: A=19-8144471-84

Q: (2b) Let I = {2,4, 6, 8, 10} and S« = { a | a E I}. Prove or disprove the following statement: "If S…

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Q: b) ] Let b (b1,b2, bs, ba) R¹ and -1 3 A null (A). 0 -1 col(A)? 1 3 -3-3 0 -2 1 5 Use the maple…

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Q: 20 Using Figure 5.33, find the missing piece of information in parts (a)-(d). B BE = 12, AE = 9, DE…

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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.