Let X~Bin(6,0.5), then P(x >4|X >3) is O a. 0.759 O b. 0.524 O C. 0.318 O d. 0.344 O e. 0.143

Q: Evaluate f1 dy Vy-1 O a. 2ỹ+ 2ln(ỹ – 1) +C O b. 2j – 2ln(/ – 1) + C O c. None\ of\ the\ following O…

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Q: .If X&Y are independent R.V's,what are the values of Var(X₁+X₂)and Var(X₁-X₂)

A: Solution X1 and X2 are independent random variables then Cov(X1,X2)= Then Var(X1+X2)=Var(X1)+Var(X2)

Q: Let f(x)= Vx+ yx +Vx. Find f'(36) to the nearest tenth. Oa. 0.1 O b. 0.2 Oc. 0.3 Od. 0.4 O e. 0.5

A: Step 2 complete solution

Q: T-2 31 If Q= | 1 1 and P= [3 then QP: 2 7 2. Does not exist. -2 01 1. 2 L21 4] 6 4 2 113 4. -2 7 25.

A: Q=-231172 and P=1032To find QP

Q: Use the F-scale measurements of tornadoes listed in the accompanying table. The range of the data is…

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Q: E 27 F -> D] C. 44

A: Given : lenght  DC = 44, EF = 27 and AE = ED, BF = FC    To find : lengh of AB (x) ?

Q: en P(x >4|X

A: Given : Probability,p = 0.5 number of trial,n = 7 Let x be the random variable that…

Q: [x 1] = 0 Given 2 . Find x? O -1 or 3 O 1 or -3 O None of these O -1 or -3 O 1 or 3

A: Remark: We know that, Matrix multiplication is associative. Although it's not commutative, it is…

Q: The number of units in Z31[x] is None 30 22 O 28

A: using Euler's phi function to solve the given problem...

Q: Let X-Bin(5,0.5), then P(x >3|x >2) is

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Q: Suppose that la| = 12. The number of distinct %3D left cosets of in is: 12 O 6 10 2 None of the…

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Q: 3. (Va² +1)* dz. Evaluate

A: Write radical in the form of fractions.

Q: Let X-bin(12,0.4), then P(5 <= X < 10) is closest to: a. 0.334 b. 0.562 c. 0.332 d. 0.335 e. 0.559

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Q: Reject Ho if |z| > N

A: We know that  Null hypothesis H0. Alternative hypothesis H1.

Q: Starting at a fixed time, each car entering an intersection is observed to see whether it turns left…

A: Given an experiment on observation of cars to see whether it turns leftL, rightR or goes straight…

Q: (2) For each nEN, set D= [ Find each of the following (2) U Dn. (b)

A: Given Dn = -7n, 5n

Q: Evalunte Ssinxerdn and sda

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Q: A container contains 50 grain tokens, 20 blue tokens, and two red tokens. Two tokens are randomly…

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Q: ek 5. Let a = pt¹ …pºk, and b = pf¹ ...pf, where p; are prime numbers, and ei, fi ≥ 0. Show that…

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Q: Suppose that P(A|B) = 0.3, P(A n Bº) = 0.10 and P(A) = 0.25. What is P(B) =? O a. 0,1 O b. 0,5 О с.…

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Q: Let U= {x |x E N and x< 10}. Let A = {x | x EN and x is odd and x< 10}. Let B = {x |x EN and x is…

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Q: Find o e S6 such that o(1234)o = (354 6).

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Q: (:) w-(;) .w If U = W U W= 5, and W a, then the value of a is: %3D O a. 5 O b. 25 Oc v5 O d. 20

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Q: Let S = {1,4, {1,4}}.what is |S|? 04 2. 5.

A: The objective is to find the order of set S. Given: S={1, 4, {1, 4}}.

Q: 11 1. Evaluate [[(x2 + 3xy)dxdy 0 y

A: To evaluate the given double integral.

Q: If p is F and q is F, then -p A q is

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Q: Let X N(10, 23). Then P( X< 10) =

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Q: a PDE from the following- @u =f() Form メソ

A: We eliminate the arbitrary function f from the given equation to form the required partial…

Q: Excrcise 8. Evaluate -In 2 xe d.x 1

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Q: 1 0. [0 1 21 [3 2 1 Let B = and E = -2 3 BT + 2E=?. %3D 4 2 Select one: 3 O a. -3 8. 10 -3 10 O b. 8…

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Q: 5z Let C: |z – i| = 3 and I = $ dz. Then z2 O I= 10rd O I= 4ti O I- 6rtl O None of these

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Q: Determine the non-permissible value(s) for 3x+2x² x² - 6x

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Q: Let A =| 0 -3 0 . Compute A“. 5

A: A=2000-30005 Now,…

Q: In the diagram below, AABC ASTR. Complete the statement CA N A T R.

A: Use congruent property