#3.CoASider the randry v Probabit fom Wth y denst HL8 varable X fox) = X Fud FDX ECX] DISCRETE MATHEMATICS Otto Spence Vanden Eynden Dossey 5TH

Q: 29. Compute det B, where B = 1 2 2

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Q: Prove the following fact: A" = 3"-1A. 1 1 1 1 1 1 1 1 1 A =

A: Given, A =111111111  We have to  prove An = 3n-1A

Q: 42 Ex: Ginen te fallasing daka : Xo ーL5 」1.5 X -2 fex)ら Fined he quadruic spline inkerpolahing fun.…

A: We are given the following data : x -1.5 -2 0 1.5 f(x) 5 3 1 2 And we have to find three…

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: 3. Show that if A-1 exists, then f eAT dr = A-(eAt – I) = (e4t – I)A-1.

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Q: Evaluate x³e¹dx O 4 0-etz ext of¥ + + C + C + C 0e**. + C

A: The given integral ∫x3ex4dx

Q: - the following sys 2z = 1 Bz = 3 az = b

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Q: Show theit the fenias +- (AtI)(28+1) (P+1)(2p41)(38+1) (uhese a>0, B>0) conveages if B>a amd…

A: Ratio test If we have series ∑ann=1∞ Then we will find the limit l = limn→∞an+1an If l<1 , then…

Q: 9b of sido s8 Into4 gnggit EGcops otivostnsliM If ((h IR>R such that h(x) =x-6) and (g R --63-70000R…

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Q: 3 Let A = -6 -1 -2 and v = -6- -2 3 Av = -6 2 -9 Ex: 5 s v in null(A)? Select an option

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Q: ADMATH 3. 1. %3D tise pawer senies I+x²

A: The given differential equation is

Q: -145 2. find least 0అ కావులి Sంఖనాుంది spcave Axz b A z] 1 -4 1 1 2. 2. enter xas a Coloumn ve

A: Given that, AX=b A=1-4010012-1121,   b=3134 The least square solution to the system AX=b is the…

Q: Part 1 of 5 (a) When a = 0.10 and n= 22, Xieft 11.591 = 32.671 Kright Part: 1/5 Part 2 of 5 (b) When…

A: a)GIvenα=0.10n=22

Q: Ave the following fancEions contindous FCx)sメーZ メー2 てト=メ 1P 2) FCX)s X 3-5X +7

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Q: (vii) Generalisation. "Gen" IFTHA and if, moreover, the formulae in r have no free x occurrences,…

A: To prove: If Γ⊢A and if, moreover, the formulae in Γ have no free x occurrences, then also Γ⊢∀xA

Q: Show that S1 = S2 if and only if Si U S2 = S1 N S2.

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Q: (3) OSJ A traffic Control engineer reports that 75% of the Vehicles Passing through a check Point…

A: As per guidelines expert have to answer first q question only.

Q: 2. Determine the following sets: a) {r €R: (3n EN\{0}) 2n – 1 < nx < 7n - 2} b) {r ER: (Vn EN\{0})…

A: An interval is nothing but a subset of the set of real numbers. When the two endpoints are included…

Q: Prove this! P (an) = W/ NM) [M-N (p-q)" ] 8 Npq %3D exp

A: your question is not clear i think some error in the question plz confirm it.....

Q: 2. If xER and 0<x<4, then 21.

A: In this question, the concept of proof using contradiction is applied. Given, If x∈R and 0&lt;x&lt;4…

Q: e null and altermative hypothesis would be: • Ho:p 0.7 H:p 0.7 O Ho:p2 0.7 H:p 0.7

A: The null and alternative hypotheses are: Ho: p = 0.70Ho:p=0.70 Ha: p =\not 0.70Ha:p≠​0.70 This…

Q: (" * ?) Prove: 1n + 2(n – 1) + 3(n – 2) + …+ (n – 1)(2) + n(1) = using lattice paths.

A: As per the question we have to prove the following summation identity : 1n + 2(n-1) + 3(n-2) + ... +…

Q: Janily of or edo thogonddraje to the following formily': x²- axy + Cy =36

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Q: and on setting E = 1+ A, P) = 1/24*(1 +6A+8A²)-'(5 – k + k²) = 1/24* (1 – 6A + 28A² + ...)(5 – k +…

A: Consider the equation               f(E)yk=(E-2)(E-3)yk=(5-k+k2)4k  The homogeneous solution is…

Q: -1 1 0 -1 If A = is v = 1 in null(A)? 4 1 1 -1 O v is in null(A). O v is not in null(A).

A: Given that: A=10-1111  and v=-14-1

Q: Show that 2"=nCk and 0 = [(-1)^nck k=0 HINT: Consider(1-1)" and (1+1)" k=0

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Q: 28. What is the appropriate null hypothes А. Но: A. Ho: µ1 = µ2 = H3 = H4 B. Ho: µ1 = µ2 = fl3 C.…

A: ANOVA stands for analysis of variance.  ANOVA is used to test the difference between more than two…

Q: 9-1. State whether each of the following situations is a cor- rectly stated hypothesis testing…

A: Introduction: The distribution of random variable                               is approximately…

Q: 5.7.4. Show that the two formulas (r = y) and (S(r) = Š(y)) in N.

A: Hi, since there are 2 questions given, the first one is answered.  Given - The formula  x=y To prove…

Q: A library subscribes to two different weekly news magazines, each of which is supposed to arrive in…

A: Given, Let the events be: The corresponding probabilities are:

Q: Now that Coowe which ewreanser he feunelion Cooue which e whe aiser he fuuneli, Under the Condition…

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Q: 9/2e1xandy be indefendent Yan dom Vaviabtes Such Ahat r and X-N(0,1) The Pirobability distribucionof…

A: Given that, X ~ N(0,1) &amp; Y ~ chi-square(2)

Q: Calculate n Sn = ? = 12 + 2² + 3² + · . . +n² %3D i=1

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Q: 5. (BH) Calculate det B, where 0. 4 1 1 В — 1 -2 4 -1 2 1 -1 0 7

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Q: Which of the following can you not use to prove A CAT S A DOG? 1. CA DO II. ZC ZD III. ZA E ZOo IV.…

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Q: isi 6:47. A batsman Mr. A is more consistent in his last 10 innings as & as zgred to another halsman…

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Q: Which of the following is nota possible rvalue? A. 1.6 О В. -0.6 С. 0.3 ) D. -0.3

A: In this case, we need to identify the correct option.

Q: -26.6 Let s(x) = x – + ... and c(x) = 1– +- for x E R. -- . (a) Prove s' = c and c' (b) Prove (s? +…

A: This is a problem of calculus, and series.

Q: Which of the following statements are correct? (Select all that apply.) 1 %3D ga-b %3D (1+ a*)…

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Q: 3.1 State the Weierstrass M test theorem.

A: Note: As per our guidelines, we will solve only first question. If you want any specific question to…

Q: Question 3 ((P Q) R) A (R v (Q@ (-P)) O Tautology O Contradition O None of the choices O Not WFF O…

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Q: es lls ew zeiflucifiib ons einiseen stigesber Show that for neN, (2n)! ' (r!)² ((n −r)!)² - 7=0 2n -…

A: We will use binomial expansion to prove given relation

Q: QA Evahate I- fca 2) QB Fiad the iversera) for the following finctions: f (x)=e 2-f )=x2-2x

A: We need to solve the integral of the given functions. NOTE - As the question contains multiple parts…

Q: QUESTION 10 1. Write the converse and contrapositive of the proposition "If the machine of my car…

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Q: IHX and Y are statistically independent. Xis with the complement of Y Nall adjio't a statistically…

A: If X and Y are statistically independent, then X is also statistically independent with the…

Q: 13 B Ify co=c is saluctan fot the DE Find yo )てて

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Q: 7. Negate the following statements: a. (Vx € P) (x + 4 0

A: Step:-1 Part (a):-  Given that ∀x∈P x+4≤8  for all x belongs P, x+4≤8 we'll replace "for all ∀" by…

Q: 3.1 For Aand B subsets of the univers al se tx iprovide a formal prost for: A x CBu C) is a subset…

A: Let A, B  and C are the subsets of the Universal set.   We have to show : A×(B ∪ C)  is a subset of…

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.