3. Let, a1 = 3,az = 4 and for n > 3, an = 2an-1+ an-2 – 5, express a, in terms of n. %3D %3D

Q: 4. Suppose mCG = 6x +5, mĀR = 4x + 15, and mLAEC = 120°. Find: a. х b. mCG Ci .by e nger с. тAR

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Q: In the expansion of (x+y)35

A: We use the Binomial Theorem to find the required coefficient in the given question.

Q: 4. Show that for all formulas p, ý, 0 € S(P), (a) (y = ) = ¬(e^ ¬b).

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Q: 11. If a = y2 and b = y, and -1sys3, then what is the largest possible difference between a and b?…

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Q: 40 If f (ax)=L y ifind the divideddifferonces x21 flaib), flaibic) and fla,b,c,d),

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Q: Example 4: If K. stock value of XYZ Ltd. for: = 11% and E = 715, calculate the 1) r= 12%

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Q: Evaluate e2z for z Ti. 1+i 1

A: In the given problem we have to evaluate…

Q: If A= then A" + nl is equal to 1.

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Q: 2etūsw ER' such that and iov-2.Than (3ü)(B)

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Q: 10, elseunére Y,= amonnt ok pollutant Per Sample collected a bove the Stack WHhout the cleaning devC…

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Q: 1 Compute the quantity, w, using w= - 1 w•w - 7

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Q: Let floor(1) + floor(1/2) + floor(1/3) + …· + floor(1/n) = ceiling(0/1) + ceiling(1/2) +…

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Q: 4. ( Give a case in which |(x, y) |xlly|l.

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Q: n is increasing, and those on w 3x + 5.

A: Introduction: The input values of a function f(x) where f(x) has minimum or maximum values are…

Q: Suppose 5 of every 9 dentists recommend Mintyfresh Toothpaste. Suppose ten dentists are chosen (a)…

A: A binomial distribution can be thought of as simply the probability of a success or failure outcome…

Q: Qa. If Fes) = T , fined fcts %3D -2)-५) -৪)

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Q: (3) Let X = n(u, 4) and Var(2x) = E(4 – 7x) find µ.

A: Given X is normal distribution with  mean =μVaraince σ2=4Standard deviation =4=2 If X has Variance…

Q: If X is the number of heads obtained in four tosses of a coin, the 1 is 1+X mode of Y =

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Q: 3. Find the correct form of x(s) and stop. State x(s) as a single fraction. x" +7x' + 6x = 2t x(0) =…

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Q: for n>2, 5 . Deermine for whpch n, n2-2 let |anlく,

A: Given  an = 5nn2-2

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: 5. Expand the following: 4 EW:Xi= W:XI= i=1

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Q: 1000 1000 2. Find Eb, if E(4b, – 5)=16. k=1 k=1 1000 1000 1000 1000 1000 а. —1290. b. Уь, —1254. с.…

A: Given ∑k=110004bk-5=16

Q: (9) Let X b(n,- and E(3x) = E(3-5x) find n.

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

Q: z equals 1 If 1, then וא

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Q: #4 (Greenwell, #52, p. 271) The number of people P(t) (in hundreds) infected t days after an…

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Q: 2. We can expect 15 x % of the batteries to last less than 30 months. 3. We can expect 16 v % of the…

A: The empirical rule for Normal distribution can be described as Here mean μ = 39, and SD σ = 3

Q: y' + y = y²

A: Given: Now,           y' +y=y2⇒dyy2-y=dtIntegrating both sides we get,⇒y=11-et+c1

Q: 4 Show that DE B0) n s+ Ø

A: We will use basic knowledge of metric space (or general topology) to answer this question.…

Q: (10) If H < Z» × S, with |H| = 12, then H = %3D

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Q: Suppose b eR. Show

A: To prove that the set of continuous real-valued functions f on the interval 0, 1 such that…

Q: If m*n Denofes -3伝 + Find the 2mn?

A: Given that m*n=2m-n2 therefore -3*5=2-3-52

Q: If E (ar + br) 2n and n+1 k=1 Σ (ακ-bk) -- 1, then Σa- n+2 k=1 k-1 O 2 3 2 O 1 5. 2 Ο None

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Q: If (ar + br) : 8n and n+1 %3D k-1 (ak - br) +, then E ak = n+2 k-1 k-1 None 2.

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Q: 1.N= 2500, e = 0.05 2.N= 486, e = 0.01 3. N=930, e = 0.1 %3D %3D

A: Population is a set of elements or subjects for which the study is conducted and a researchers want…

Q: If 2 ak = 10 and 2 bk = 6, find the following values. %3D k = 1 k= 1 n bk Σ E (ak + bx). E (ak -…

A: Since you have asked a question with multiple question in a single request, we would be answering…

Q: Suppose that  X  and  Y  are unknowns with  E ( X ) = 12 and E ( Y ) = 20.  If E ( X Y ) = 225,…

A: It is given that, E(X) = 12, E(Y) = 20 and E(X,Y) = 225.

Q: Suppose that 2 balls are randomly selected (without replacement) from an urn containing 3 red, 4…

A: Given Information: No. of red balls = 3 No. of blue balls = 4 No. of white balls = 5 X : number of…

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: 3. Suppose that the pmf of X is x-1 1. p(x) ,t = 1,2, 3, . 3 3 Find the mgf of X.

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Q: Find the total number of in H.C.F. of n and 36 is 1.

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Q: Suppose X and Y have the following joint PMF. 1

A: From the given information,   x\y 1 2 3 4 5 6 Total 1 0 0 0 0 0…

Q: (9) Let X z b(n,) and E(3x) = E(3– 5x) find n.

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Q: 2. (a) Evaluate e²-dr, where a > 0.

A: Let, I=∫0∞e-x2-a2x2dxI=∫0∞e-x2e-a2x2dx Let F(x,a)=e-x2-a2x2DaF=-2ax2e-x2-a2x2DxF=-2x+2a2x3e-x2-a2x2

Q: (2) Find the value of ß (,-)

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Q: . Let, a, = 1, az = 2, b; = 0, b2 = 1, for n2 3, a, = 2an-1 + bn-1 for n22 b, = br-1+ an-1 express…

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Q: (27) Let X = P(2) and E(-x) = E(5 – 5x) find 2.

A: Given: A random variable X follows Poisson distribution Mathematically, X~Poi(λ) The probability…

Q: (35 Show that the following grephes are Hameltonian 8) e a) d c) a ol

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Q: Let 0 < b1 < a1 and for n E N, a + b an + b,* An + b. An+1 bn+1 2

A: We will start with choosing the limits of an as a and bn as b, respectively. The rest will follow as…