Suppose that P(A/B)=0.2, P(A/B')=0.3, and P(B)=0.8. What is P(A)?

Q: Let r(æ) = f(g(h(x))), where h(1) = 3, g(3) = 2, h'(1) = 9, g/ (3) = –2, and f'(2) = 5. Find " (1).…

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Q: 2) Given the following: f(2)=5, f(5)= 7, f'(2) = a, and f'(5) = b b) What is (f¹)'(5)? Show work.

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Q: Show that Ф (X) %3 Ф»(Х" ). fг e erime e prime

A: We solve this question using a well known inversion formula for cyclotomic polyomials. The solution…

Q: If lal = n, show that |a'| %3D gcd(n,t)

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Q: /3 In 3 7e*dx 1+ e 2x

A: Given: ∫0ln337ex1+e2xdx To find: We have to find the value.

Q: 14. Find k'(s) if k(s) Ins %3D s2 а. 2s2 b. s4 2 In s C. s3 s3 2 Ins 1 d. s3 s3

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Q: 2 L₁ (2x - e²x)² dx A. B. C. D. 31e¹+36e²+3 12e4 31e¹+36e²-3 12e4 31e4-36e²+3 12e4 31e¹-36e²-3 12e4

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Q: Let Y1, Y2, .., Y30 denote a random sample from the Poisson() distribution, f(y|A) : y! y = 0, 1, 2,…

A: Poisson Distribution     lambda= 0.03 lambda = 0.05 1 0.029113366 0.047561471 2 0.0004367…

Q: If f(x) = 5x + In(a2), find f '(15). A. In 13 B. C.

A: f-1(x)  is a inverse function of f(x) . let f -1 (x) = y  x = f(y) .   If  f (x) = 5x + ln(x - 2) ,…

Q: 13 [ 1.5 11.5 13 Suppose f(x)dx= 4 14.5 (8 f(x) - 7)dx = f(x)dx = 8, 11.5 ["³ f(x)dx = 7, 14.5 13…

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Q: V8m²n V2m² (3) V32m*n? 1 (4) V5+ V3

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Q: Given that f(6) = 8 and f(6.1) = 2.3, approximate f'(6). %3D f'(6) =

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Q: Astermine dy àf if 2ny-g=3.

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Q: Which of the following statements is always true (select all that apply)? Р (AUB) — P(A) + Р (В) Р…

A: The probability of an event is the chance of occurrence of that event.

Q: X=(1,0,– 1, – /2)'. Then,||X||3 = ect one: a. b. 2 C. d. V2+2/2

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Q: If p(E) = 2 9, find o(E) and o(E'). o(E) =       o(E') =

A: Given p(E)=29=n(E)n(S) That is, n(E)=2 n(S)=9 n(S)=9n(E)+n(E,)=92+n(E')=9     n(E')=7

Q: 1.

A: Given that:  m∠D=2m∠2

Q: Let X ~ Gamma (8, 2) . Then E |[X²] is equal to

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Q: Suppose that P(A') = 0.4, P(B') = 0.5, P(An B) = 0.4. Find P(A), P(B), P(AUB), P(An B') and P(AIB).

A: given data P(A') =0.4P(B') = 0.5P(A∩B) = 0.4

Q: If P(A or B) = 0.801, P(B') = 0.33 and P(A and B) = 0.20. Find i) P(B) ii) P(A)

A: Answer: Given that, P(A or B) = 0.801 P(B') = 0.33 P(A and B) = 0.20

Q: |(181? +t+2) dt dx 8.

A: Given expression is

Q: 1-ス 17+4 キ文T AND FIMD

A: Given that:x=t+t-1 and y=t2+t-2

Q: Suppose that P(A)=0, P(C|A) =0.006, and P(C'|A')=0.0055 Find P(A∣C).

A: GivenP(A)=0P(C|A)=0.006P(C'|A')=0.0055

Q: A manufacturer of compressed gasses is looking at new legislation that would require it to reduce…

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Q: Show that the vector in B4 is orthogonal to the vectors in B1, and that the vector in B2 is…

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Q: Suppose F(x) is between 4 and 8 for x in [3,12]. What is the largest that · 12 L" F (x) dx can be?

A: given that function F(x) between 4 and 8 for x in [3, 12] we have to find the largest value of…

Q: 1) Assuming 11 degrees of freedom, find to.09(df). to.09(df) = 2) Assuming 15 degrees of freedom,…

A: here use t distribution table for getting t critical value

Q: 13.5 8.5 c13.5 | f(x) dæ = 4, f(x) da = 7, f(x) dx = 5. 11 Let %3D f(x) dx = 8.5 Find 8.5 4f(x) – 7…

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Q: Suppose that P(A) = 0.47, P(C | A) = 0.007, and P(C' | A') = 0.0105. Find P(A L C).

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Q: 0.6 0.8 1 1.2 1.4 b. h(q) 457 352 272 210 162 Estimate h'(1) using the table above.

A: Given the table

Q: Given y = (u² + 1), u = x² = 5, determine when x = dx - 2.

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