Let X Find an where i=1, 2,...30, be iid over (0,1). 30 approximation to P[X₁ > 6)

Q: 17) pla) = a' – 5; Find p(x – 4) %3D

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Q: Suppose X~N(197,6), and Z~N(0,1). Then x = 189, is equivalent to z = ______

A: Given Information: X~N(197,6) So, mean μ=197 Standard deviation σ=6 X = 189.   Z-score or…

Q: Show that Y parameter 8. (X₁+2X₂ +3X3) is not a sufficient estimator of the Bernoulli

A: Y=1/6(X1+2X2+3X3) is not sufficient estimator of the Bernoulli parameter

Q: 35 Find the extrem poinbs of Pcxy)=xy Subject to X+y=20.

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Q: 7. (a) V.(V4) = V²¢ (b) (4× R) _ (2-n).A n(A.R)R %3D E,r =|R|

A: a)

Q: Suppose X~N(180,15), and Z~N(0,1). Then x = 185, is equivalent to z = ______. (Round your answer to…

A: Given that, x~N(180,15)  Mean = 180  standard deviation = 15  We know that z-score is given by,…

Q: 5.2 Q3: By using Trapezoidal rule find I | In xdx , where n=6.

A: The objective is to find the integration of the given function in the interval [4,5.2] by using…

Q: The randon variable x has dencity že" Find P(1xl +1X-31< 4).

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Q: Let plx)= 6x f(x) f"(x)= f"(-2) = 5-3 %3D 2.

A: Recall: dxndx=nxn-1

Q: What are the coordinates of C' after its preimage, C(5,-3), is reflected over the x-axis? O (5,3) O…

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Q: Determine the interval I for which the following DEQS have a unique solution whose graph passes…

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Q: y = In(4x² + 1)

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Q: Recall the linear approximation formula: for small x (1+x)^n ~ 1+nx A. 81/16 B. 26/5 C. 51/10 D.…

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Q: In the set-up of Example 11.1, evaluate P(R = r, Y = y) for all possible values of R and Y. Use your…

A: Here, balls are drawn without replacement. Hence, the joint PMF of R: The number of red balls, and…

Q: Determine the length of x = ¹³ (y − 1)³/² between 1 ≤ y ≤ 4.

A: Thank you 😊

Q: TF x and y are orthon ormal rectors then Pind Value of Ilx+y12 - ||x-Y2

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Q: 5) What is the maximum value of y = 5 Cos 4x ?

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Q: what is the averaage value of y=a/x on [1,b]?

A: First we have to find formula of average value.

Q: 14. If f(5) = 19 and f'(x) 2 3 for 1 <x < 5, then f(1) is at most: %3D A) 3. B) 4. C) 5. D) 7.

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Q: 9/Express flx) in the form fCx\=(x-K)q(x) tr for the given value o f k ):子メー5x3 -12x°-X; K3 -5 9.…

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Q: 4. Given a function, fix), such that f(x)dx = 10, calculate: a) - r(«)dx b) S rx - 2)dx d) Stsx) +…

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Q: 12) Linear Approximation 12.1) Approximate 12.2) Is the approximation an over or under estimate?

A: 12.1) let f(x)=1x3  and a=8linear approximation L(x)=f(a)+f'(a)(x-a)at a=8L(x)=f(8)+f'(8)(x-8)…

Q: Let G = (a, b | a² = b4 = e, ab = b³a). a. Express a'b’abab³ in the form b'a', where 0 < is1 and…

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Q: The chief loan officer of La Crosse Home Mortgage Company summarized the housing loans extended by…

A: You have drawn the tree diagram correctly. So I'll show the other 2 parts. b) The probability that a…

Q: 6) Find solution of the particular y"-2y'+y=x²-6x+ 2x

A: 6)Here the given differential equation is y''-2y'+y=x2-6x+2xe2exlet y=emx be the trial…

Q: Use a linear approximation to estimate the value of sin 0.06. Verify that f(x) = satisfies the…

A: Use formula of linear approximation

Q: Suppose that P(A') = 0.3, P(B) = 0.8, P(A U B) = 0.9. Find P(A), P(An B), P(An B') and P(A'|B).

A: We have given that P(B) = 0.8 We have to find P(A),  and

Q: that uni, o wthat (h) 3.

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Q: 16. Where does the smallest value f(r, y) + 3ay + y occur on the rectangle (-2, 2) x (-3, 1]? a) It…

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