Let X₁, X2, ..., Xn be a r. s. of size n from N(0₁,0₁). find the m. l. e 0₁ and the corresponding M. L. E of 0₁ 1 1

Q: 1.5 Let u = (-1,0,1) and v= (2,-1,5). 1.5.1 Writev in component form and determine [v]. 1.5.2…

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Q: if x1 if z-1. Consider the measure- space (R, B(R), µL). Let f(x) = 1 and g(z) = %3D 1. g-fae. 2.…

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Q: (1) Let o, T E S6 such that 1 2 3 T = 1 2 3 4 5 6 4 5 6 and 6. 4 3 5 1 2 2 3 1 6 5 4 Determine the…

A: Note: According to Company Guidelines we are providing the answer of only 3 subquestions. Kindly…

Q: 16-17. Find the value of n that makes AFED~ AZYX when DE = 4, EF = 5, XY = 4(n + 1), YZ = 7n – 1,…

A: To find the value on n so that two given triangles becomes similar.

Q: Let E={1,2,3,4,...} subset of. Show that the outer measure or exterior M*(E)=0 2. E=(0) shows its…

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Q: 2. Compute e for the following: (a) B= (1 2). (b) B = 3= (1 ²). (c) For B as in (a) (resp. (b)),…

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Q: 1. Prove That E (ri + si) a; = E}-1ri a; + £?=1 Sį a¿ 2. Find E(-1)k+1 (2k) k=1 3. Given X = 2, 4,…

A: 1)  LHS=∑i=1n ri+si ai          = r1+s1 a1+ r2+s2 a2 + ..................+ rn+sn an          =…

Q: Which of the following subsets of R³ are linearly independent? {0} {{} } {O O } S1 S2 S3 6. 2 S4 = 1…

A: To determine which of the following subsets of R3 are linearly independent. S1=112S2=112, 212S3=112,…

Q: Let S= (-2, 3]U(4,5). The largest possible value of e >0 such that V-1)c S is Select one: a. None of…

A: Let S=(-2,3]∪4,5. We have to the largest possible value of ε>0 such that the ball with center -1…

Q: Given x = 1, 2, 3, 4, 5; y = 3 Find E-,(X; – Yi)

A: X=1,2,3,4,5 and Y=3 we want to find ∑i=15(xi-yi)

Q: You want to test Ho: mu, = muz = mu3 = mug vs H,: not Ho using alpha = .05. Group A Group B Group C…

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Q: B. Let H « G and K - G, and assume that HNK = {e}. Show that if x E H and y E K, then xy = yx

A: We can prove given result by definition of normal subgroup:

Q: You have a dataset of i.i.d. observations (Y, X), where Y; = Bo + B1 X; + U4. %3D Suppose that the…

A: Note: Hi there! Thank you for posting the question. As your question has more than 3 parts, we have…

Q: D5) 1. If X and Y are i.i.d, each uniform in [0,5], what is the pdf of Z=X-Y? 2. If X and Y are…

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Q: Consider Check all that apply. OA. first order B. ODE C. PDE OD. linear O E. third order OF second…

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Q: 8.8. Let F be a finite field of order q, and assume that q is odd. (a) Let a, b € F*. If a² = b²,…

A: We shall answer first three subparts only as per the answering guidelines as you have asked more…

Q: b) Describe the points at which the function describes the different pieces of the function. c) Is…

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Q: Post Question 2 Find y if (y + 3y + 2y = e3 + e* + 5)

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Q: a. P(X1.8, Y>4.7) d. The conditional Probability distribution of Y given that X=1.5

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Q: • If f(x) = 1. D; = R R; = {1,–1} 2. D; = [1,00) Rp = [0, 0) 3. D; = R Rf = {1,0} 4. D; = [1,00) R;…

A: The given function is, f(x)=xx

Q: is a conplex saries of nunbers and for VNEN monert an, bn ER Let 2n- an +ibn. Show that if Ź 2n =…

A: Given:  ∑n=1∞zn is a complex series of numbers and  ∀n∈ℕ, an , bn∈ℝ Let zn= an+i bn To show that :…

Q: If u = x²/(x² + y²), find ou/ox, du/dy.

A: # As per the guidelines we are entitled to solve one question at a time, please resubmit the other…

Q: Let A = PDP 1 and P and D as shown below 1 0 1 2 P = 35 D = 0 2 A4 = %3D

A: Given: To explain the given statement as follows,

Q: p. 18. a) Find (i) GU H and (ii) GnH V2 V3 Vs V3

A: Given the diagrams To find G∪H

Q: Let à = − 3ỉ − 2j + 2k. Find ||ā||.

A: Find the square root of the sum of the squares of the coefficients of each unit vector.

Q: If f(x) = then, %3D 1. D; = R R; = {1,0} 2. D, = [1,00) R; = [0, c0) 3. D; = R R; = {1,–1} 4. D; =…

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Q: 2. If y = XB + E,y= 1 8 -3 0 X= a. Find XX,(XX)-1,xy,yy. [1 2 10 1-4 3 【 1 ¹1 [ B = E2 E3 LE4.

A: Data given

Q: 4. Let x N (e, 1), n = 2, let T = a. 34+0² 36 b. + 17+0² 36 b. T₂ 4X₂ , RT (0) = C. 34 36 5. Let x…

A: The random variable X follows normal distribution such that X~Nθ,1 A random sample of size n=2 is…

Q: 2 -5 Let y = -3 and u = -4 -1 3 Compute the distance d from y to the line through u and the origin.…

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Q: If S 3D [x|0 <x<12}, М 3 [x| 1 <х < 9}, and N %3D (x | О <x< 5}, find а. MuN b. M N N c. M' N N'

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Q: Let X have the p. m. f. f(x) = 10' x f(x)= x= 1, 2, 3, 4. Find a) E[X] and b) E[X(5-X)]-

A: The given pmf can be described as X 1 2 3 4 f(x) 1/10 2/10 3/10 4/10

Q: 1.5 Given f(2) = , then Res(f(2), –1) is z(z+1) A. e, В. !, C. -, D. 0, E. None of the above.

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Q: If f(x) =

A: We have to define the function first.

Q: Assume that =y+In(x), and n=x, then u xX а. O a. 1 Ob. 1 1 с. O c. x² d. 1 Unn x 1 O e. x² е. 2 +Unn…

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Q: 1.3 Let X1,. , X12 P(0). Let Ho : 0 = } and H : 0 < . We reject Ho if S = X; < 2. Find the powers…

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Q: o.10. Prove that (a) J,"(x) = ¿[J,(x) – 2J,(x) + J, + glw). n n-2 n' n+2

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Q: x 1 3 5 7 y 3 4 According to the table, which of the following is the y'(1) value calculated by the…

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Q: Q11) The solution of (1 – y² )dx + (1+ x² )dy = 0 is: %3D

A: 1-y2dx+1+x2dy=0 On simplification, we get ⇒1-y2dx=-1+x2dy⇒dx1+x2=-dy1-y2

Q: R and r are defined by E(r, – 5)(y – T) Sry VS., Syy SSR R2 r = SST' (1) Show R? = r².

A: If y = a+bx is the linear equation  Correlation attempts to measure the strength of the relationship…