For what values of c is ||c(1, 2, 3)|| = 1?

Q: {X> 3} fX | {X> 3} (

A: X ∼ exp (λ) PX>xX>3=PX>xX>3   ; X>30                         ; otherwise

Q: 27 Find (all) the value(s) of c such that 3c 3can - 8. n=0 (A) c= 3 (B) с%3D 4 (C) c = -}, (D) c = }…

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Q: Q3- Find the numerical value of g. xdz, if c = c + C2 + C3.defined in the given figure. (2,2) C3 C2…

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Q: Let X P(2) and E(x) = E(5 - 5x) find 2. %3D

A: When a random variable follows Poisson distribution then mean and variance of X are same as…

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

A: Given X ~ B(n, 12) P(X=x)=Cxn px (1-p)n-x; x=0,1,....n…

Q: Evaluate h(2), where h = (gon. s (2) = –ig(2) =?+1 1 f (z) . h(2)

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Q: let f:(a,b)→R be de fined by X€QN(a,b) x€Q' n(a,b) -2 f(x)=' 3

A: This is a problem of Differential Calculus.

Q: Show in detail that E [(X-µ)^n] = 0 for ∀n , where X~N (µ, σ²) and n≥3.

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

Q: Suppose c is a constant. If ) elk-1)c – 3, then k=1

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Q: given A={x I x2 - 1 = 0 }, B = {x I x2 + x - 2 = 0}, and C = {x I x3-x2=0} A, B, C Ⅽ R a. A U ( B ∩…

A: A=x:x2-1=0B=x:x2+x-2=0C=x:x3-x2=0 Then we have to evaluate A∪B∩C.

Q: 2. If A C B, then m*(A) < m*(B). 3. If A = Q' n (0,1), then A is measurable. %3D

A:

Q: Į c(x + y?) for 0 <x< l and 0 < y < 1, S(x, y) = otherwise. Determine (a) the conditional p.d.f. of…

A: The required pdf is given by: fy=∫01fx,ydx=∫01cx+y2dx=c∫01xdx+∫01y2dx=cx22+xy201=c12+y2

Q: s(2) f(z) is analytic in C

A: Ans : false

Q: x3+y3 x+y If u = = In ди X ?x In ( ди + у ду then find the value of ?

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Q: Let c be a  positive integer, then (e^c+1)≥e^c for all c.T/F

A: Given that c is positive integer and we have to check whether the given inequality is true or not.…

Q: 2 Let C: z-2|=1 and I = dz. Then C z2-4

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Q: Let X = P(A) and E(3x) = E(2-6x) find A.

A: Solution: 46. From the given information, X follows Poisson distribution with parameter λ.

Q: 2. Suppose f: A → B and Y and Z are subsets of B. -1 (a) Will it always be true that f'(Yn Z) = f'…

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Q: Let A = {x E R : 2 < x < 3} and B = {r €R: -1<r< 2}. Prove that |A| = |B|.

A: To prove this result we first show a objective map from [-1,2] to [2,3]. Then (2,3) is uncountable…

Q: a) f a²+ a ECCR) for all a E R, then Poove thot R is Commutalve.

A: According to the company's guideline, we shall prove first Que only. For others, kindly post again…

Q: Let f(2)=³ and let C = {z € C : |z| = 1}, described in the positive sense. Determine the value of Ac…

A: Given that             fz=z4-5z2      and    C=z∈ℂ : z=1.

Q: Let X P(A) and E(3x)= E(2– 6x) find a.

A:

Q: evaluate Cn,x px qn-x for the values of n, x and p given below. n= 4, x=1, p= 1/2

A: The given expression is a binomial distribution with n = 4, x = 1, p = 1/2.

Q: (a) Evaluate . z²e1/z where c is z = 1.

A: note : as per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: Ex let x be with pmf 1=,2,3, 16 O find c P(X)2)

A: We want to find the value of c and P(X≥2) and P(X2=9)= ?

Q: Show that E-o (-1)*(")=0, and then verify that () + C) + C)+ - = (") +C) + () +-- -G) + G) + G)-…

A: We can show given identity by definition of Binomial theorem:

Q: the value(s) of c such that 3c2n n=0

A: The given question is taken from the sequence and series in which we have to find the value of the c…

Q: Which of the following is a possible y" + k'y = 0

A: Given that: y''+k2y=0

Q: If X - EXP(0), then P(X > a+ t| X > a) = P(X > t) for all a > 0 and t> 0. Proof: P(X > a + t| t > a)

A: We want to prove above statement

Q: If X - EXP(0), then P(X > a+ t| X > a) = P(X > t) for all a > 0 and t> 0. Proof: P(X > a + t|t > a)

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Q: Let S be the set of integer solutions to the equation x1 +x2+x3+x4 = 30, where x; > 0 for i = 1,2,…

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: 2) y=x-9x+24x-18; [2, 4] Ay

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Q: Find the value of c such that E enc = 4 n = 0 3 1n 4 C =

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Q: Let Find A = {x E R-1 ≤ x ≤ 4}, B = {x ER| 4 ≤ x ≤ 6), and C = {x E R/3 < x < 5}. AUC {-1, 2, 3, 4]…

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Q: · (b + c) = a · = a · b + a · e for all a, b, c € R³. . 7. Prove that a.

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Q: Let X = {1,2,3}. (1 2 3 ) give a) For a (3 2 give a321

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Q: d. What happens if P < M for all t?

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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: A. Fail to reject H, because the P-value, 0.0433, is greater than a = 0.05. B. Fail to reject H,…

A: It is known that if the p-value is greater than the level of significance, the null hypothesis does…

Q: t, for t > 0, sa X 2 is

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Q: Find the value(s) of k such that A is singular.

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Q: 5. H X-N 12,0- 4), which of the following is TRUER A P(6 <X< 18) = 1 B. P(6 <X< 12) = 0.5 C P(12 <x<…

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Q: If we know P(X = i) = 2/3n2 , i = 1, 2, ..., 6 then E(X) would be?

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Q: Verify that Al2 = I½A = A for an arbitrary A E M2x2(C).

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Q: Let C: |z – i| = 3 and I = $. dz. Then e 6z z2

A: By using Cauchy integral's formula for nth derivative.

Q: generally true? Prove / disprove this.

A: P(x+y|x)=probability of (x+y) given x. P(y|x)=probability of y given x.

Q: Which of the following represents the form of the par x+1 f(x) = (A, B, C & D are constants) x + 1 A…

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Q: D. Is there guaranteed to exist a value of x = c on -2 < c < 2, such that h'(c) = 0? Give a reason…

A: Rolle's theorem states that if a function f is continuous on the closed interval [a, b] and…

Magnitude

A vector is an element with both direction and magnitude. A vector is represented using an arrow, where the arrow represents the direction of the vector and its length is represented using the magnitude. The set of vectors in space is known as vector space. The vectors can be added, subtracted, multiplied, and divided in a vector space. The image below shows a vector AB.