Given that A and B are independent with P(A ∪ B) = 0.8 and P(B c ) = 0.3, find P(A).

Q: Given two points (x1, y1) and ( x2 ,y2 ), Derive the linear interpolation formula in terms of these…

A: Let y=fx be  a function which takes the value x1, y1, x2, y2 So, there are two pairs of values of x…

Q: If a = p - q, b = 2pq, and c = p² + q°, show that c2 = a? + b?.

A: Given:a=p2-q2, b=2pq and c=p2+q2To show thatc2=a2+b2

Q: GIVEN: TV || WY with transversal RS W. MZRUV = (r + 4)(x – 3) R mZWXS = x? 3 3/X FIND: 2.

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Q: Given that P(A/B) = 0.5, P(A)=0.4, and P(B) = 0.44 , then P(A/B) is equal to ?

A: Given : P(A|B) = 0.5 P(A) = 0.4 P(B) = 0.44

Q: s paces Xand y, then both T and Ta boanded op erators are

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Q: Suppose P(A) = 0.5, P(B) = 0.3, and P(A∩B) = 0.15. Find the following:(a) P(A|B) (b) P(B|A)(c) Are A…

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Q: The number of elements in S3 satisfying the condition x2 = e is a)1 b)2 c)3 d)4

A: Explanation of the answer is as follows

Q: r if in reality the company workers have the

A: * Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at…

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: Given that P(X)= P(Y)= and P(XUY)= find 20 20 10 a) P(XnY) b) P(XIY)

A: Given,PX=920PY=720and PX∪Y=710

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

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Q: Given that P(A|B) =0.4, P(A) = 0.5, and P(B)=0.35, then P(B|A) is equal to: a. 0.28 b. 0.5 c. 0.14…

A: Given data,P(A|B)=0.40P(A)=0.5P(B)=0.35P(B|A)=?

Q: If P(X|Y)= P(r)=- then P(Xnr)is 4 12 (b) 12 (c) 12 (d) None

A: Probability quantifies the chances of happening an event. The probability values always lie in the…

Q: If VZ = p + 26 and WY = p, what is the value of p %3D W V Submit

A: We will use similarity of triangles and the fact that the sides of similar triangles are…

Q: If S = (a,b,c) with P(a) = 6P(b) = 2P(c), find P(c). %3D %3D

A: Observe the following. Pa+Pb+Pc=1Pa=6Pb=2PcPa=2Pc6Pb=2PcPb=26Pc=13Pc

Q: Find a fourth guess whose scoring will allow you to determine the secret code for G R Bu W

A: Given information: The data represents the guesses and scoring for 3 guesses.

Q: Given that A = 40 + 3ŷ + 2, B = –2â + 42, and C = ŷ+ 42, find: (Ã × B) x Č O a. -50âx-48ây+40âz O…

A: Given vectors are: A→=4x^+3y^+z^  , B→=-2x^+4z^  , and C→=y^+4z^

Q: Negate the following statement Vx ay [ (P(x) < QUy)) ^ (Q(x) < P(y))]→ (P(x) = QG))

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Q: If (r + yw)? = e + 2, then e is e e +2 a. b.- 2ry +2y2w 2rw +2yw2

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Q: Simplify the following by using De morgan's theorem: (with solution)  1. W = BC +B'C 2. X = A'B +…

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

Q: t Lemonade Insurance Company charge each of Rainie anc break even'? e this contract if she is…

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Q: If x I y and y I z, then b

A: For the lines l, m &amp; n, if l∥m &amp; m∥n, then from transitivity rule l∥n.

Q: If P(X > a) = –, then a is equal to: 16'

A: Here given pdf from which retrieve probability

Q: 4. If A is a 4x4matrix and det A=2 , then det(34)is equal to (a) (b) 162 (c) 48

A: Given query is to find the det(3A) when matrix A is a 4 × 4 matrix.

Q: Given that y = a² , find .

A: Given Now taking ln both sides then

Q: If given points A at (6, 3) and B at (-1, 4), determine AB. A 5/2 В 2/5 C V26 D V74

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Q: Given m (r) 3r- 2 and p (r) = -4x + 2, what is (m - p) (2)? %3D %3D O (m – p) (x) = -I O (m - p) (r)…

A: Solution: Consider the given expressions is m(x) = 3x -2 p(x) = -4x + 2 Then we have to calculate…

Q: If p(A) = 0.11, p(B) = 0.15 and p(A and B) = 0.26, are A and B independent? %D

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Q: Negate the following statements: a. (∃y ∈ Q) (y + 4 = 8) = b. (∃z ∈ B) (3z ≥ 0) = c. ∀x∃y, M(2x + 1,…

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

Q: If u(x) = x3, then du = 3x2.

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Q: If A is m x n and B is n x m and AB I then the rank of A is

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Q: LetP(A) = 0.20, P(B) = 0.80, andP(A∩B) = 0.16. Are A and B independent? Justify your result…

A:

Q: Now, let dR = aR+ bJ dt dJ cR + dJ %3D dt How would you describe the relationship between Romeo and…

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Q: 2. Given V = x + y' av a) Find and b) Hence, show that y ( - ) = v. = V. ду

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Q: Given that A = 4ê + 3ŷ + 2, B = –2â + 42, and C = ŷ + 42, find: (Ã × B) × Č O a. -50âx-48ây+40âz Ob.…

A: Given A→=4x^+3y^+z^, B→=-2x^+4z^ and C→=y^+4z^ =i(a2b3-a3b2)+j(a3b1-a1b3)+k(a1b2-a2b1)

Q: If UV = 2p + 28, WZ = p + 43, and XY = p + 57, what is the value of p? %3D V U W Y %3D

A: In trapezium UVXY, Z and W are in mid points of sides UY and VX. So, length of WZ will be the median…

Q: Given P(X)= 5 and P(Y)=! Suppose a< P(XOY)<b. Find a and b.

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Q: note by p= P(X = 1), q = P(Y = 1) and r = P (X = 1,Y = 1).

A: Given Information: X and Y are two Bernoulli random variables. The probabilities of certain events…

Q: (d) Verify that for v= (a, b) E R², P[v]s' = [v]s and Q[v]s = [v]s•.

A: d) First find the matrix P that is the change of basis from S to S'. 1,3=31,2-12,31,4=51,2-22,3…

Q: c) is True/False. c) x +y = x+y

A: Given the equation. Now,             x14+y144Apply binomial theorem:  a+bn=∑i=0nnian-ibia=x14,…

Q: Disprove the statement by giving counterexamples If m,n ∈ R, then |m + n| = |m| + |n|.

A: The equation is m+n=m+n.

Q: Find the value of X and Y in given that; -5 1 6 R = - 1 S = 3R + S = 4 y -1 8 3. 2. 2.

A: We want to find the value of x and y.

Q: If F =, and S: r=, Osusa/2,0<v<2. Then S[ F•nd4 is equal

A: This is the problem of surface integral use method to solve

Q: a) Is it reasonable to assume X; and Y; are independent? b) Is it reasonable to assume X; is…

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

Q: Given R = Z₁₂, M = {0, 4,8], then R/M is

A: We know the definition of quotient ring ,  R/M = a + M / a ∈ R We have given that , R = ℤ12  and  M…

Q: Given p=3d + 2 Which of the following is the independent variable?

A:

Q: The value of W (x, x², x³) is

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Q: Given P(A) = 0.28, P(B) = 0.20 and P(B|A)=0.28 are A and B independent dependent?

A: Given Data: The probability of event A is: P(A)=0.28 The probability of event B is: P(B)=0.20 The…

Q: Find a fourth guess whose scoring will allow you to determine the secret code for GR Bu W GY Bu G Y…

A: Given information: The data represents the guesses and scoring for 3 guesses.