1. Let C, D E F. Suppose P(C): = 9 10 and P(D) = D(D) 4 5 show that P(CND) Z 7 10

Q: 10. x(x² + y²)²Cydx – xdy) + yºdy = 0.

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Q: In PCA, we obtain z E Rk from x E R" as follows: T z = u(1) y(2) u(k) Which of the following is a…

A: Given that,In PCA, we obtain z∈Rk from x∈Rn as follows:z=|u(1)| |u(2)| ...…

Q: Q5. If P(AUB)=0.3, P(A)=0.6 and P(Bº)= 0.7 Find 1) P(ANB) 2) P(A/B)

A: We have given thatP(A ∪ B) = 0.3P(A) = 0.6P(Bc) = 0.7

Q: 4.Use Lagrang interpolation method to find f(1) based on the following data: a -3 2-1 3 ソ=fx)||1 2 4…

A: 4 Consider the given table x−32−13y=fx1248 Use the Lagrange's interpolation method we will find the…

Q: et f = xi+ yj + zk and g = |f|. Then Ve9 =

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Q: Q. 5 Given that A and B are independent with P(AUB) = 0.8 and P(B)= 0.3, find P(A).

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Q: 5. [Р л (Р — Q) - P F F F F

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Q: If S = {a, b, c} with P(a) = 4P(b) = 3P(c), find P(a).

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Q: Given 7(t) = , Find:

A: Given r→t=sint, t, cost To find aN0

Q: The Math coordinator at Houston Community College collected the following data from first and second…

A: Hi! Thank you for the question. As you have correctly solved the first two subparts of the problem,…

Q: 4. (4 – e 3*)³dx

A: Here we use the formula  ∫eaxdx=eaxa+C (a-b)3=a3-b3-3a2b+3ab2

Q: Suppose X~N(19, 2.5).  Find P(X = 17)

A: Given X~N(19, 2.5)

Q: 6. Compute 1,= de for p= 0,1 10

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Q: Q. 2.2 Let X1,.,X, f(r;0), where Ox°-1, 00 f(r; 0) = 0, elsewhere. Find the m.l.e. and m.m.e. for 0.

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Q: If S = {a, b, c} with P(a) = 8P(b) = 2P(c), find P(a).

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Q: If S= {a,b,c} with P(a)= 2P(b)= 4 P(c), find P(a)

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Q: Show that 1 – R1.23 = (1 – r12²) (1 – r13,22 ) Deduce that (i) R, 23 2r,2, (ii) R? = r12² + r13², if…

A: Answer: For the given data,

Q: A container contains 35 green tokens, 5 blue tokens, and 3 red tokens. Two tokens are randomly…

A: There are total (35+5)=40 non-red tokens and 3 red tokens in the container.  And total (35+5+3)=43…

Q: [4] If X= [5 4 3] and Y = | 6 find XY and YX. 3

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Q: In S, if T-{(G { G {), them r ) is In S, if T-1(G )G 2 3 \1 2 3 2 3 }, then 3 1 2 3 2 3

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Q: If S = {a, b, c} with P(a) = 8P(b) = 5P(c), find P(a).

A: Total probability:If a sample space contains mutually exclusive and exhaustive events, then the sum…

Q: 4y² – 25 -dy

A:

Q: 7. f : N2 → N.

A: (1) N2 ={(m,n): m,n∈N}     This is the sketch of the bijection f:N2 →N The curve which is traced on…

Q: verify that (AT )T = A

A:

Q: = Suppose (3, −1, −2), = (-1, 1, −4) and w = . 9. 9. v.w= 9. v. v= ū⋅ (v+w)= . 9. (5, 1, 1). Then:

A: For any query with the solution, please ask in the comment box.

Q: If n(A) = 46, n(B) = 19, and n(AN B) 19, and n(An B) = 4, find n(A U B).

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Q: -10 If AXT = B, then X= Let A = %3D 0 2

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Q: L-1 if (24/ ((5-7)²-9) 1 ;)} What's the value of a*c? = atbect senh(3t). =

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Q: Let A = {m CZ/m = 4k+8} where k CZ, and let B = {n CZ/n=2r + 2} where r CZ. Show |A| = |B

A:

Q: 9.

A: Given,  y=2x+x4-9x+3

Q: a) Let p=13. Compute L2(3) b) Show that L2(11) = 7.

A: Here concept of field is used.

Q: 1 2. S- 9y²+64 dy

A: Given: The integral is ∫19y2+64dy. Evaluate the integral.