If x[n]= {2,0,3,4}, x[(n-2),]= O a. {3,4,2,0} O b. {3,0,2,4} c. (2,4,3,0} O C.

Q: 3.33 Let 2 -1 0 4 3 -1 1 6. 1 -3 -4 1 | A = and B -3 1 2 1 -4 3 0 0 1 1 -1 -1 1 Find Err(A, B) and…

A: To find Err(A, B) and PSNR(A, B) where A=2−10410−32−31210110 and B=3−11600−41−43000−1−11

Q: 1. If N = 12, k = 8, and n = 5. Find P(2). %3D

A: X follows a hypergeometric distribution with N=12, K=8 and n=5 and k=2 We will use the formula:…

Q: Find the value for z if P( -z < Z < z ) = 0.7427.     0.37     0.65     1.13     0.33

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Q: Prove P(n,r)=P(n-1,r)+r.P(n-1,r-1)

A: To prove  P(n,r)=P(n-1, r)+r.P(n-1, r-1)

Q: If A={0, 11} and B={00, 01}, then AB=... 1. О {000, 0011, 010, 0111} 2. О {00, 011, 110, 1111} 3. О…

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Q: Let W be weight in kg, taken from 1000 student and W ~ N (50,25) 1. How many students have weights…

A:

Q: Let z(x) ~N(0,1) Prop (x > -0.56) = Prop (x ≤ -2.17) = Prop (-1.56 ≤ x ≤ 0.72) =

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Q: n If E (ak + bk) 2n and n+1 k=1 E(ak – br) +, then ak = n n+2 k=1 k=1 3 2 5 2 O None 2

A:

Q: True or False? see the question as attached here

A: Given, If  0&lt;an≤bn  and  ∑n=1∞bn diverges then ∑n=1∞an diverges

Q: 4. 5. For n E N, { x ER | |x-x*|<1/n } is open. UA_n is open where A_n=(n-1,n).

A: To determine: If the given statements are always true, sometimes true, or never true: (4.) For n∈ℕ,…

Q: If D =diag(λ1,λ2,...,λn), show that for every positive integer k, Dk =diag(λk 1,λk 2,...,λk n).

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Q: (d) The apartment is hot if and only if the temperature is not 75º and the air conditioning is not…

A: Here given Statement in English convert them to symbolic form using standard notation

Q: If X(z) = In(z - 2), then what's x(k) а. O b. ak O C. -ak / k d. others е. ak / k

A: Z transform and inverse Z transform

Q: If (n + 1)(n + 2)an+1x" - nan-1x" = 0, n=1 show that for k = 1, 2, 3, ..., we have 1.3.5... (2k - 1)…

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Q: Show that if P(A;) = 1 for all i > 1, then P(N1 A¡) = 1.

A: We know that P(Ai) = 1 for i ≥1 Considering P(Ai), i=1,2,3,... to be independent events

Q: n IfΣ (a +b:) 2n and n+1 k=1 n (ar – br) = -, then Ea n+2 k-1 k=1 O 7 O None 5. 2 2 2

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Q: for n>2, 5 . Deermine for whpch n, n2-2 let |anlく,

A: Given  an = 5nn2-2

Q: Show that for any n E N, 7(15".

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Q: 6. Suppose (a, m) = 1. Prove that for any b, Σ an + b) 1 (т — 1). n<m

A: Given (a,m) = 1 We have to prove that for any b , ∑n≤man+bm = 12(m-1)

Q: 3. For all æ E Z[i], there are N (x) elements in Z[i]z.

A: The set of Gaussian integers is a subset of the set of complex numbers containing the elements with…

Q: Prop (1.23 ≤ x ≤ 1.72) = Prop (-2.50 ≤ x ≤ 0.5) = Prop (x ≥ 3.00)

A: here use normal distribution table

Q: 1. Let, a1 = 7 and for n > 2, an = "1 express an in terms of n.

A: According to our guidelines, we can solve only the first question. Please repost other questions as…

Q: a n eln t--+

A: Given a function : h(x)=31-2x+2 We need to find the graph of this function.

Q: 1. Find the union and intersection of each of the following families: (i) M ={ n Z:nEN}, where n Z =…

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Q: Given x > 0 and a real number y, there is an n in N such that nx > y.

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Q: *prove that for . P+2+3+... +n° = 2 n=!,2,3,

A:

Q: Let z-2 z-2 n st pC& >0.5)20.9 and y:bin (n,o.38), find or

A: Y~Binomialn, 0.38 Compute the mean and the standard deviation of Y using the formulae: Y=np…

Q: If X ~N (6.7,25), then 1) u = ; 2) o² = ; o = 3) P(8<X<14) = .

A: Reviewing information, Given, X~N(6.7 , 25)

Q: Show that for all n e Z, n? – 3n +17 2. -

A: Given: For all n∈ℤ, n2-3n+1≠2

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

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Q: Let n e Z. n#-1,3,

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Q: 19. Show that (for n = 0, 1, 2,..) (a) F(-n, b; c; 1) = (c-b)n (c)₁

A: We have to show F-n,b;c;1=c-bncn Solution: By Pochhammer definition cn=Γc+nΓ(c)           (1) and…

Q: If E (ar + br) 2n and n+1 k=1 Σ (ακ-bk) -- 1, then Σa- n+2 k=1 k-1 O 2 3 2 O 1 5. 2 Ο None

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Q: Let X={x=(x1, x2, X3, X4) : Xi E {1,2,3,4,5,6,7,8,9,10,11,12} for i=1,2,3,4 such that x1 < x2 < X3 <…

A: Given:X={x=x1, x2, x3, x4 : xi∈1,2,3,4,5,6,7,8,9,10,11,12for i=1,2,3,4 such that…

Q: Suppose gcd(a, n) = 1. Then a(") = 1 (n

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Q: (d) utive but no two X's can be consecutive? How many permutations are there, if all three of the…

A:

Q: - Show that (for n = 0, 1, 2, ..) (a) F(-n, b; c; 1) = - (c-b)n (c)n

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: 3n-m Let C = n, m EN- Then sup(C) = n?m

A:

Q: Let T = > Σ - In k. n n=1

A: We will solve here only (a) part of 2.   we have to show that the sequence Tk is monotone…

Q: es lls ew zeiflucifiib ons einiseen stigesber Show that for neN, (2n)! ' (r!)² ((n −r)!)² - 7=0 2n -…

A: We will use binomial expansion to prove given relation

Q: Let, a1 = 1, az = 2, b1 = 0, b2 = 1, for n 2 3, 2ап-1 + bn-1 for n 22 b, = bn–1+ an-1 an express an…

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Q: In P2 , if B = {1,1+x+x², x + 2} and D = {x²,x, 1} , then Pp-B = 1 2 0 1 1 1 1 0 1 0 1 1 1 1 2

A:

Q: If X(z) = In(z - 2), then what's x(k) a. -ak / k b. -ak С. aк d. others e. ak /k

A: Inverse Z transform found using multiplication by k property

Q: Compute 0.5x for the following set of n = 7 values. x1 = 4, x2 = 19, x3 = 18, x4 = 10, x5 = 16, x6 =…

A: Solution: From the given information, n=7 and the set of values are

Q: Show that if A and B are both n × n, then (a) det(AT BT ) = det(A) det(BT ); (b) det(AT BT ) =…

A: Given A and B are n×n matrix.

Q: If X(z) = In(z - 2), then what's x(k) a. ak / k O b. -ak С. others d. ak е. -ak / k

A:

Q: If X(z) = In(z - 2), then what's x(k O a. -ak O b. ak O c. -ak /k O d. others Oe. ak / k O O

A: Given that X(z) = ln(z - 2) We have to find the value of X(k).

Q: In an A.P show that an + a m-n 2a, m+n

A: