For any k = 1, 2, .... n, find E T₁+T2+ T₁+T2+ ... + Tk + In,

Q: Given X~ N(20,16), find c. P( 19 < X<23) (4 decimal place)

A: X~N(20,16) Mean(μ)=20 Variance(σ2)=16 standard deviation(σ)=16=4

Q: Let A 1 value of k. [23] A and B = 1 -7 217 k If AB = BA, find the

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Q: [3 5. Let A = and B = [, Find C = (AB)"

A: In the given matrix, A and matrix B  Apply matrix multiplication technique .

Q: Find 3 values of r n =120 o(n) such that

A: Ok

Q: 1 2T 4 T2 8T e es 5. 8. e ell e3+ e + T Select one: O True O False

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Q: Let X - N(2, 4). Calculate P[X2 – 4X < 4].

A: P(X2-4X≤4)=0.7602

Q: et f = xi+ yj + zk and g = |f|. Then Ve9 =

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Q: Q:- Show thet B(n, n) B( n+on+=2 1-40

A: The solution is given as

Q: a. 3.2F> Fn+1 for n23 [Solutions and final ans

A: We need to prove 2Fn&gt;Fn+1 Now, we have formula for fibonacci sequence is Fn=Fn-1+Fn-2

Q: 2-j5) Show that JA -25 (1+j2 \3+j4 = 57 + j24 - 2

A: the given equation is -2521+j23+j4-2-j5-j=57+j24 consider Left hand side…

Q: 2+13 H.W. Evaluate zdz along the following paths- 1+12 (a) horizontally from 1 + 12 to 2 + 12 then…

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Q: Suppose a park has three locations: a picnic area, a swimming pool, and a baseball field. Assume…

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Q: -2 7 -6 Let F= 4 4 | and G= 7 1 -1 2 - 4 2 Find – 6F+ 4G.

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Q: If f'(t) = 9t² + e' and f(0) = 4. Compute f(3).

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: Determine inf H and sup H for H = (-1, 0), H = {0, 1}U(2, 3),

A: As per the guideline i am uploading the first two. For the other two kindly resubmit the questions…

Q: What conditions, if any, must be set forth in order for a + b to be equal to n(A U B)?

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Q: Q2 (Bayes' Theorem) It is given that P(B|A) – 0,15. P (B|A) = 0.03 and P (A) = 06. Compute P(A|B).…

A: Ac=A bar  P(B/A)=0.15, P(B/Ac)=0.03, P(A)=0.60, P(A/B)=?

Q: For what a is ||ai - 3j + k||=16

A: Topic - vectors

Q: If P(n-1,3):P(n,4) = 1:9,Findn.

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Q: a. (f+g)(-4)

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Q: **2.) In the diagram below, ray NK bisects JNL MJNK-(22-2 and MELNK-(3x)". Determine the value of…

A: Given: In the diagram, the ray NK bisects ∠JNL. m∠JNK=2x2-2°. m∠LNK=3x°. Since the ∠JNL is…

Q: 3 I- 0) = [u- w -3 [-1 4] 6.

A: We will solve it in parts Consider 0-1453-101-1 = (0)(5)+(-1)(-1)+(4)(1)    (0)(3)+(-1)(0)+(4)(-1)=…

Q: If, (V₁ X V₂) · V3 = 6.5 then what is (V3 X V₁) - V₂? ○ (0,0,0) Cannot be found with the given…

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Q: Show that for all n E Z, n² 5.

A: Consider the given condition: This shows that whatever will be the values of n, it will always be…

Q: X- N(5,2). P(X>2) = ?. [Draw a figure]

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Q: The solution of 14 - x|>1 is Select one: O A. [-2, 5] O B. ]-00,-5], [-3,00[ OC.J-00,3], [5,00[ O D.…

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Q: -1 1 Let A= 1 Then, ||A||2 = -2 Select one: a. 9+V45 2 b. 8+V45 c. 10+V45 2 d. 7+V45

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Q: X2, ..., Xn, y1, y2, ..., yn, then z is equal to x (A) x + y (B)*+ỹ (C)*+ÿ n (D) x + y 2n

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Q: 3. What is the value of ? B (9 - 40)" (2t - 3) A D

A: We know thatangle measure=arc measure

Q: 1. Find L-'[l/(p² + a?)²] by convolution.

A: Let 1p2+a22=1p2+a2p2+a2=1p2+a2p2+a2= FpGp      Then ft=gt=sinata

Q: 2. Let T=

A: Given that, T=22-1-163201 We have to find adjoint T.

Q: Fiven with z1 = (-3,1) and z2 = (1, 4). Show that |21 2| = |21||2|- %3D

A: Complex number and it's modulus

Q: If X-B(x; 10, 0.25), which of the following is P(2<Xs4), approximately? Lütfen birini seçin: a.…

A: From the provided information, Number of trials (n) = 10 Probability of success (p) = 0.25 The…