[1 If A = 6 and |A|| = 1 Which of the following statements is true? O a. |A| = 3|A| O b. 12A| = 2|A| O . None of the answers is correct O d. 12A| = 4|A|| %3D

Q: Which of the following is false? O ("2) = 2(") k ㅇ ") %3 (4") + (F) k n(n+1) (":"): 2 2 O ()² = (?)…

A: We have to check whether given statement is true or false.

Q: 3n³ + 20n² + 5 is O(n³)

A: Given: The given expression is 3n3+20n2+5 is 0(n3),

Q: Show that if x > 9, then x³ – 8x? + 2x > 3. Show that for all n e N, if n > 10, then nª – 2n² > 3n³.

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Q: For any n e N, let An = {x € R | –n <x < n}. Prove that NneN An = A1. (Recall that we define 0 ¢ N.)

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Q: Of the following, which is the smallest? A) 1.001 x 10^4 B) 1.01 x 10^3 C) 1.01 x 10^2 D) 1.1 x 10^2

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Q: d. None of the above (3) Based on part (2), we can deduce that: dw a. 1+ w2 Jo dw dw 1+ w? dw dw 1+…

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Q: Consider the following conditions. x = 73.26 O = 8.25 %3D 38 %3D Test the hypotheses H: H = 79 H: u…

A: Given -

Q: Did I prove p is not equal to 0 correctly? p is not equal to 0 by what?

A: You have proved correctly .   This can also be seen as If p= 0  Then 1/x = 0  and x= infinite or…

Q: Show in detail that E [(X-µ)^n] = 0 for ∀n , where X~N (µ, σ²) and n≥3.

A: It is an important part of statistics. It is widely used.

Q: 7. Which of the following has the correct solution given for x? Check all the apply. O 3x -3 = 24; x…

A: GIVEN(1)3x-3=243(9)-3=2424=24x=9 is correct solution

Q: The evaluation of S S 3y³e*ydxdy is e - 1 O

A: Given: ∫01∫0y2 3y3exydxdy

Q: Consider the following conditions. X = 39.46 O = 5.83 n = 65 Test the hypothesis that Họ: H = 42…

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Q: Given P(E) = 0.11 , what is P(E^ prime ) ?

A: We will use the complement formula of probability. P(E')=1-P(E)=1-0.11=0.89

Q: Which of the following statement is always true? (a) p(2n) = p(n) (b) p(n) is always even. (c) Edin…

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Q: If v3 – 2cos 0 = v3, where 0 <0 < 2n,wh are the values of 0? Select the correct answer below: 3n and…

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Q: 2. If A C B, then m*(A) < m*(B). 3. If A = Q' n (0,1), then A is measurable. %3D

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Q: Solve the following re is correct with a proo a = 3 with a = a -1 +2k for all

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Q: d x" = nx"-1 de 4. Prove that NɛQ

A: ddxxn=nxn-1 ;   n∈Q

Q: Another means of rejecting Ho is if the p-value is greater than a. O less than a. O less than 0. O…

A: We have to find the another means of rejecting null hypothesis is the the p-value is ?.

Q: If we are to rearrange the letters of the word ENTER wherein the two E's are to be kept together, we…

A: Word : ENTER

Q: Show that for any n E N, 7(15".

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Q: For all n, d e Z where d + 0, d\n * n= dk for some kEZ. Disprove: For all integers a, b, and c, if…

A: To disprove that for all integers a, b and c, if a|b+c, the a|b or a|c Suppose a,b,c∈ℤ be any…

Q: What is the general rule to evaluate I N,where N is any positive

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Q: Let S = {:n e N}. %3D a) Show that inf S exists b) Show that inf $ = 0

A: given S=1n:n∈ℕ to show  (a) infS exists (b) infS=0

Q: For all n, d EZ where d + 0, d\n n = dk for some kEZ. Disprove: For all integers a, 6, and c, if…

A: I have disproved the result

Q: Which expression is equal to E (2" + n²) k-1 n=2 O (2" + n?) +D ¬k-2 (2" + n2) n3D2 nk-2 O (2*-1 +…

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Q: 8. Which of the following is incorrect? A) - B) (3 + 5)(7 + 9) = 3(7) +3(9) + 5(7) + 5(9) 24 35 D)…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: 9. These calculations are et of N = 5 scores to practi ΣΧ/Ν- Σ(Χ-4)- Σ(Χ-4) Σχ ΣX) *N = EX/N = =…

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Q: Which of the following is equal to a +c 1' +c O o O

A: The given integral is ∫x6 dx To solve the integral we use power rule of integration , ∫xn dx =…

Q: Which of the following is the smallest, positive value of n for which -i" is equal to -i? (1) n=1…

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Q: Which of the following is a possible y" + k'y = 0

A: Given that: y''+k2y=0

Q: Select all of the following that are equivalent to >(2) +> (3k + 1)? k=0 k=0 п+1 A. O) (3k + 3) k=0…

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Q: Under the hypothesis of the fixed point theorem, for all n21 we have O A. Pn is closer to pn-1 than…

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Q: (b) Suppose that for a particular disease c = 0.6/day, and b = 10/day. What value must k remain…

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Q: If k = 3, df = 12, MSWithin = 45.33, n = 12, and alpha is set at .05, what is the value of Tukey's…

A: From the provided information, k = 3, df = 12, MSwithin = 45.33 and n = 12 Level of significance (α)…

Q: d. What happens if P < M for all t?

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Q: O None of these Oe equal to the above Vdows O is equal to the above O is equal to the above 434

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Q: 6. If *" =x for all x # 0, which of the following must be true? A m-n35 m+n35 m/n-5 mn-5 E mn 5 15.

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Q: 53. Suppose that a + 0. (a) If a · b = a·c, does it follow that b (b) If a X b = a X c, does it…

A: Given a, b, c are three vectors and a ≠ 0.

Q: Suppose that T(0)

A: Given, T(0)=a and T(1)=b and are some constants. Define  the runing pairwiseaverage as, for n≥0,…

Q: 5. H X-N 12,0- 4), which of the following is TRUER A P(6 <X< 18) = 1 B. P(6 <X< 12) = 0.5 C P(12 <x<…

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Q: The Final value of F(s)= 1 is S+3 O 3

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Q: (a) Ha: B1 0, with n = 26 andt=1.91 <p< 1 (b) Ha: B1 # 0, with n = 12, b1 = 0.16, and sp1 = 0.06 %3D…

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Q: If var(e) → 0 as n → 0, then 8 is said to be

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Q: If the statement is true, prove. If the statement is false, disprove. 1 + 2" > 3n for all n E Z

A: False.  take n =2

Q: ? Suppose that * f(3) = }, and f(x) > 0, and f(x) < 0. Is it possible that Í(2) = . 3 O False True

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Q: If n = a? for some a E Z then 1155 n" + 7777n + 1 %3D

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Q: 6. Suppose X -U(1.5).which is true?( ) b-a (A) Pla s X sb} = 3 (8) P{3 < X < 6} =- 4 (C) P{0< X < 4}…

A: Given that : X ~ U ( 1 , 5 )  By using uniform distribution we solve this problem.   Note :…

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.