— (i) For any {(xi, Yi)}=1, Sxy = = n n i=1 (xi — x)Yi n 1 ii) For any {(xi, Yi)}_1, Sxy = = ΣXi Yi - T· Y n i=1

Q: let ζ ∈ N (10.2) calculate P (ζ ≥ 7.5) and determine E (2 ζ2 - 200)

A: #Given: z follow normal distribution with mean mu=10 and standard deviations=2  1): to find…

Q: if Eo an is divergente then (a,)² is also divergente. Select one: True O False

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Q: simplify the following boolean expressions with postulates and theorems. clearly state each step and…

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Q: the moment-generating function of X is M(t)= et, then the moment-generating function of Y=1+. 3

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Q: dx Evaluate • (1– 2x)² 1 2 O-1 H/2

A: NOTE: Refresh your page if you can't see any equations. . ...............(1) substitute…

Q: (b) is required for this part. What is the moment generating function of X? No work (c) Compute…

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Q: Prove the product rule by use of ΔA=w⋅Δh+h⋅Δw+Δw⋅Δh

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Q: Simplify the following functions using Boolean algebra and its identities. List the identity used at…

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Q: 2.24 Derive the simplest sum-of-products expression for the function f(x₁, x2, x3, x4) X₁ X3 X4 +…

A: we have to derive the simplest sum-of-products expression for the functionFor the given function,…

Q: Find the sum-of-products expansion of the Boolean function: F(x,y, z) = (x + z)y.

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Q: Apply K-map to simplify the following Boolean function to product-of-sums form: (a) F(w, x,y, z) =…

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Q: determine L−1[F].

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Q: Let a b. A = d Lg h i Find a. det(3A) b. det ((2A¬)) P Type here to search %23

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Q: 1 h(s) = (s – 10)2 Find the largest value of A such that the function h(s) is increasing for all s…

A: Given: h(s) = 1s-102  Increasing interval :(-∞ , A ). The function f(x) is increasing on an interval…

Q: Prove or disprove: If (n) and (yn) are subsequences of each other, then n = yn.

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Q: If the moment-generating function of X is M(t) =e, then the moment-generating 3t 1 function of Y…

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Q: 4.20 Decide if R² is the direct sum of each W₁ and W₂. (a) W₁ = {(x) | x ≤ R}, W₂ = { (X) | XER} =…

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Q: A third student keeps buying chocolate bars until he finds 5 prize vouchers. Let W be the numbers of…

A: The Expected number of prizes is 5 Let W be the number of bars bought before getting the 5 prizes So…

Q: Find all values of h such that rank(A) = 2 A = 1 3 -4 h -1 1 0 3

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Q: 1 1 Prove that: L' a exp(a't) erfe( avt), where erfc is complementary a+v error function.

A: Formula Used:- L1t=πsLeat=1s-aLerf(at)=as(s+a)Leatf(t)=F(s-a)                   where…

Q: 2. Expand the following summations: a. b. Σxy c. Ef-o(2 + z;) d. E- x+ y e. E(axi+ b)? f. E(2xi+…

A: Multipart:  We need to expand given summations ,  We know that , summation is the addition of…

Q: Q2: Find the total energy of the signal: fcos*(«) -sts π (x) Sts. x(t) : 0.w. (-R2, 0) (x2,0)

A: We will integrate the function in the given range.

Q: Find E3,3 using the law according to the mittag Leffler function Γ(β)zn Σr(a(n-1) + B) Eaß(z) = z +…

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Q: Q)find the inverse Laplace transform 2p L-1 - (p² + 1)²) 2) r (m[1+) In

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Q: Directions: Compute for the x, &, and (x, - 8). Return Year Stock Price (x, - x)2 30/01/2019…

A: Given the data as Year  Stock Price 30/01/2019 316 28/02/2019 307.8 31/03/2019 317…

Q: Prove the following by using the Boolean identities: ((XY)Z) + (YZ) = YZ

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Q: 2 Let xk = E(k+1)(k+2) for all k e N and define S, = Ek=1 ®k• (a) Evaluate Sn as a function of n.

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Q: (a) Write using summation notation: 1 +1 + 1 + 32 + 1 3n (b) Transform the summation by making the…

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Q: Let a : V → W be a linear map for vector spaces V, W over R, V₁, V2, V3, V4 a basis of V and w₁, W2,…

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Q: Using the Laplace transform, compute t * e-t * e', where indicates the convolution.

A: We will find out the required value.

Q: 1) Consider the arithmetic mean (x +y)/2 and the geometric mean xy of two positive numbers x and y.…

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Q: Find E3,4 using the law according to the mittag Leffler function Σr(a(n-1) + B) Eaß(z) = z + n=2

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