S 6(1 – y), 0

Q: Proficiency #10. [Contradiction/Cases] Let A = {q € Q |(3n E N)(q = 2)}. Show that 2 ¢ A. 2n+3 n+2

A:

Q: Suppose P(E₁ E₂) = 0.46, P(E2 E1₁) = 0.92, and P(E₁) × P(E₂) =0.41. Determine P(E₂), giving your…

A: It is given that  P(E1/E2) = 0.46 P(E2/E1) = 0.92 P(E1)*P(E2) = 0.41

Q: Ln x d x X + X Ln² (x²)

A: First, we split the integral into two parts:∫ln(x)dx and ∫x∗(ln(x2))2dx

Q: Differentiate the function y = In [(x* – 1)(x² + 1)²] to the simplest form. - The number of online…

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Q: 5. If A = (611). 0 then eª = e e (8 €) e

A: A=

Q: Given f(x)dx = 7, f(x)dx = 4, find f(x)dx

A: We will use the following property of integrals to solve this

Q: This question relates to the survival function for a life s(x) = e-x/100 (a) Show that s(x) is a…

A: To show that s(x) is a valid survival function, we need to confirm two properties:1. The survival…

Q: Evaluate csc Enter the exact answer. CSC (4). (7)

A:

Q: For the function f(x) - 2x2 + 1, write Newton's formula as an+1 = F(rn) : = In f'(xn) for solving…

A: using newtons formula

Q: 1 e e 5. If A-), then ¹-(3) = eª = 01 0 e

A:

Q: If Mx (t) = X X-t find E(X) E (x²) and var

A: The moment generating function (MGF) is given as follows:

Q: If P(E/F) = P(E) then P(F/E) = P(F)? True or false

A: Given: PEF=PE ⇒PE∩FPF=PE⇒  PE∩F=PE×PF Then, PFE can be calculated as, PFE= PE∩FPE…

Q: If ∫74f(x)dx=4 ,∫54f(x)dx=9, and∫76f(x)dx=5, then ∫65 f(x)dx= ∫65 (4f(x)−9)dx=

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Q: The covariance in expected value notation is Cov(X,Y)= E[(X - x)(Y-Hy)]. a. Show that this is…

A: The covariance in expected value Cov(X,Y)=E[(X−μx)(Y−μy)]E(X)=μx,E(Y)=μy

Q: The exact value of dx is x² /x² – 1 V3 + v2 (A) V3 V6 – V3 (C) V3 – V2 (D) | (В) 1+ 2 2 2 2 (E) 3 2…

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Q: 5. If A = 1 (6¹), 0 then eª = e 0 e

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Q: If P(A) = 0.8,P(B)=0.5 and P(BIA) = 0.4, find (i) P(ANB) (ii) P(A|B)

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Q: Prove that e²+1 = (1 - nt) ²e + n²

A: To prove the given equation, we need to understand the relationship between the error terms and the…

Q: f(z) = z +1 %3D g(x) = x+ 1. %3D

A: