5 2 1 3 Suppose X is Gaussian and A = 3

Q: 0.9pt # BIUS A A o X2 x E Times New Romana 14px 56x3/14 12 13) 14) 90 10 14 10 56 40 36 3. 14 14 126…

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Q: 4. Assun the joint PMF given in Problem 1. (a) Find the correiation of X and Y. (b) Find E[X]. (d)…

A: According to the answering guidelines, we can answer only three subparts of a question and the rest…

Q: Example 8.13. Use Simpson's 1/3rd rule to find dx by taking seven ordinates.

A: Here we have y=f(x)=e-x2 now to take seven ordinate means n=6  (6 intervals) then step size…

Q: ور در جا ب اا التاريخ 03/1 2- 12= %3D t60 =D200 2. 200 -40023 そ- 6- 5.570x10 400 Redsim Th enel laa…

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Q: 4. Solve the initial value problem. a) y" + y = cos(x); y(0) = 1, y'(0) = -1 p) y" – 2y' + 2y = x +…

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Q: Example 4.18. Let X and Y be i.i.d. ~ N(0, o²), so that fxy(x, y) = fx(x)fy(y) 1 1 e 20 1 for all æ…

A: By using CDF method...

Q: Example 7.13. Apply Bessel's formula to obtain y25 given y20 2854, y24 = 3162, y 28 = 3544, y 32 =…

A: Here we need to use bessel's formula to solve this problem.

Q: QUESTION 26 Simplify the Boolean expression: (v +xy')V'+xy)

A: First multiply and then go ahead

Q: L(e-3t)= %3D 1 s2- 3 1 .bO s2+3 S-3 1 .dO s +3 1.

A: We can solve it by definition of Laplace method Consider Le-3t = ∫0∞e-ste-3tdt=∫0∞e-(s+3)tdt=…

Q: 7:37 PM Thu Feb 10 2-3-3 Learning R HC RD 4 COH - 65 mRD =

A: Given:

Q: 2- this beta function B(3,6) equal to : a) 1/168 b) 1/186 c) 5.95 d) none of the above

A: We have to solve the beta function

Q: 1 О. 15 Show that %3D (D - Q) k e k

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Q: 1 Find the general Solution of the following equa tion ; xy'-2y=x²

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: e -1 Compute Lt v1+x-1

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Q: If z + In(e3* - e + e²) = 0 dz find at the point (0, 0) -3 -2 3. 2.

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Q: 8.4 Let X denote a standard (one-dimensional) Brownian motion. Find the following probabilities.…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: (10) (2 1 1) %3D If A = 3 2 3, find A-1 by Gauss-Jordan method.

A: To find- If A = 211323149, find A-1 by Gauss-Jordan method.

Q: Exercise 7.9 The model is Y = Xß + e with E (e | X] = 0 and X € R. Consider the two estimators (b)…

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Q: Example 8.25. Evaluate x + 2x + 1 Jo 1+ (x + 1)². dx by Gaussian 3-point formula.

A: Gaussian 3-point formula. variable change x=a+b2+b−a2v if ∫abg(x) dx=b-a2∫-11g(a+b2+b-a2v)…

Q: 1. The function x(t) = el5t periodic signal but, function x(t) = e5t aperiodic signal.

A: Periodic and aperiodic signal

Q: 5. Suppose Xt is a geometric Brownian motion with u = 1,02 = 1. Given X1 = 1, find the probability…

A:

Q: 1 Given: E = 3 -1 [-2 2 01 2, find E1. 3 -2] 2 -1 11 a. -2/3 -5/3 2 c. nonsingula -1] 4/3 -5/3 b.…

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Q: Lemma 6.1 Let DC C and let f : D C be locally constant. Ify E C([a, b], D), then fop: [a, b] +C is…

A: Here we use the property of differentiation  and constant function.

Q: 13.7.3 A simple model (in degrees Cel- sius) for the daily temperature process O(t) of Example 13.3…

A: It is given that ,  The simple model for daily temperature process C(t) is ,  Cn = 161-cos2πn365+4Xn…

Q: Example 8.23. Evaluate using Gauss formula for n = 2 dx 1-1 1+x² and n = 3.

A: The problem is solved using Gauss formulas for n=2 and n=3.

Q: 1 D = | (1+e*)³e' dt -1 E t In (t) dt 2 1 F In ( 1+ dt 1 G = t² In3 (t) dt 1

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Q: 7) -U(X-2)(x+3)" (5x-1)(7x+ 2) 3х+13 6) 57 In7x+2+c) (ans.: In 5x 2х -3 7)Sー (ans.: -Im,x-1+ Im,x-2-…

A: ∫1ax+b dx =1alnax+b+C Note :As per our guidelines , we can solve first question .Please repost…

Q: 1. Evaluate: Use gamma or beta laws 8 1 = √₁ e3z (e² + e5z)2 dz

A: Introduction: Popular mathematical functions include beta and gamma. While beta is a dual variable…

Q: 1. If the pdf is 2x-2/K e^8x-4x^2 , 0 < x < 1 Find K.

A: 1. The pdf is given by  We know that,

Q: 25-30 Find dz/ax and dz/ay. 25. z = 4e+3y

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Q: Question 4 4.1.a q(t) = t°In(t³) q(1) = 2t In(e*) + *(: 2 5t 5 2t In In (t) + 5t

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Q: a. ņ = Gives the number of ways of distributing 4 distinguishable balls within 4–3)! 1. One box 2.…

A: a. Given: Ω=4!4−3!

Q: 9.3.2. Random variable Y has the moment generating function ør (8) = 1/(1–s). Random variable V has…

A: Given: ϕYs=11-sϕVs=11-s4

Q: m M|L II k=0 CO M« Σ N சிய

A:

Q: -3z2-3 Let C: |z – il = 4 and I = f. dz. Then z²-1

A: Use Cauchy Residue theorem to evaluate this integral.

Q: Example 19-36. If U, = a + bx+cx², prove that 3 U, dx = 2U2 + 12 (Uo- 2U2 + U4) 1 and hence find an…

A:

Q: 1.5 | Example 8.26. Evaluate e- J0.2 dx using the 3-point Gaussian quadrature.

A: Given: Let us consider the given equation, ∫0.21.5e-x2dx. Determine the given using the 3-point…

Q: 1 X + X Solve the integral: Gin|5+x²|+C A 5 @ B {/in/1+x³²|+c C © =√³ m/₁ + x ²³ / + C 6 ©…

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Q: 28. 3n n+2 А. 1 В. 8. С. eo D. Е. Divergent

A: (28). The sequence is defined by n+2n3n To evaluate : The value to which the sequence converges.

Q: If z3 + In(e 2 -2 e+e) = 0 az find at the point (0,0) O -3 0 3 О-2 O 2

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Q: Question 33 If g(x)=- A) B D d = 2√²-1 (2 ·S^*^[e'-In(21+1)]dt, find g''(x) - 4 (2x+ (2x + 1)² e*…

A: Solved below.

Q: 13+ 7+1 The long-run behavior of r(t) is 1+-t

A: Long run behavior of given function can be calculated using leading terms of numerator and…

Q: 7. E(-1)"- Vn +1 n=1

A:

Q: S 1 {1- | neN} n inf S min S max S sup S

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: (4Г7)(3Г4) Solve the given problem on Gamma Functions. (Г5) (Г8)(Г10.2)

A: To find gamma function

Q: 1 al 1z(z -4)e – 4)e z=1

A:

Q: Px(x.y) | x = 0 x =1|x=2 0.09 0.22 0.29 0.06 | 0.15 | 0.19 _y = 1 y = 2 4. Assume the joint PMF…

A: Solution: 4. d. From the given information, the joint PMF is

Q: 5- this beta function B(2,7) equal to : a) 1/56 b) 1/65 c) 5.95 d) none of the above

A:

Q: Question 8 The general solution for the DE -5y +6y= ex, is given by Ocy=e2x+ Cze 1 3x 4x 4 O b. y =…

A:

Q: 2.7 where t is the time in months after the virus was first detected. 1+14e 0.761'

A: Here we have,  The number of computer N(t) (in millions) infected by a computer virus is,