Let 4; = {0, i} . Find U4, and N 4. i= 1 | A;. i= 1

Q: If A, BC S such that P(A)=0.7, P(B)= 0.5 and P(A NB)=0.3, then P(A|B) =

A: Here use venn diagram and Bayes theorem

Q: 2 Let A | and U = H. Then A2017U is equal to = ... A) B

A:

Q: Let p, q, and r be true, false and false, respectively. Which of the following is true? a.) p ^ (q…

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Q: Find S, if aj = 20, d = -10, and n = 25.

A: first term a1 = 10 common difference d = -10 total number of terms n = 25

Q: * If Iz| = Re(z), then z is

A:

Q: Let A and U = H. Then A2017U is equal to

A: The given matrix is A=-120-1 find A2=-120-1-120-1=1+0-2-201=1-401 therefore A2=1-401 similarly…

Q: Let a, b, c be positive integers and let d = (a, b). Since d|a, there is an integer h with a = dh.…

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Q: Let A = 2 and U = H Then A2017U is equal to A D

A: Given A = -120-1  and  U = 10

Q: Let X=R. and M = ®, then span (0) = o (0} OR

A: {0} is the correct answer.

Q: Let S = {10n – 1: n e Z}, T be the set of odd integers, and U Prove that S CTNU. {5т + 4: т E Z}.…

A: Consider the given information. Here, S=10n-1:n∈Z And, U=5m+4:m∈Z And, the set T is the set of odd…

Q: If|u|= 3 and|v|= 6, find|u×v|and whether u×v points into or out of the page.

A: If|u|= 3 and|v|= 6, find|u×v|and whether u×v points into or out of the page.

Q: Let X - N(H, o). Show that the MGF of X is etu+to²

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Q: Prove if a,b > 0 then : a+b>1, to aª + bª 1 > 8

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Q: Let u (k, –5) and v = (1,–1). If proj,u = ¿v , find k. Answer:

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Q: prove that: DO e de a e +6 2/3 cwhere a, b > o

A: Where a, b>0

Q: 1. Let P(A) = 0.4 and P(AUB) = 0.6. For what value of P(B) are A and B independent?

A: To find The value of P(B) such that A nad B are independent

Q: A, where OU Find det(A), adj A and A =

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Q: Prove: If = ¿ (where a, b, c, and d are nonzero), b then d*

A: Given:               ab=cd  (where a,b,c  and d are non zero.)

Q: If x-Exp(5), then M,(t) is O 1 ul (1 – 5t)-1 الخيار 2 t.

A: Given that  X~Exp(5)  Find Mx(t)

Q: 14)If the numbers On are and an= 3an defined by a= I , --20- for nz3, faoce that

A: We will first write the given recurrence relation  in homogeneous form then find its characteristic…

Q: Let Z - N(0, 1). Find P(Z < 2). Question Help: D Post to forum

A: Given that, Z~N(0,1)

Q: If m, n, p, q are integers, n > 0, q > 0, and r = m/n = p/q, prove that

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Q: Let A 3 and U = |- Then A2017U is equal to

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Q: snip

A: given ,

Q: Let T ∼ Γ(r, λ). If μT = 8 and r = 16, find λ and σ².

A: It is given that, The value of λ is, Thus, the value of λ is 2.

Q: 3. Let r and y be positive integers. 4. Let a, b, c e Z. If c divides a +b,

A:

Q: Let p, q,r E K be given with p an

A: Given, p, q, r∈K be given with p and q not both zero. To prove that the set of allxy∈∏ satisfying…

Q: If p, q≥ 1 and 1/p+1/q = 1, th || ||D R

A:

Q: Given u = (5,0, 0) and v = (5, 5, 0), which of the following represents u x v?

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Q: 10.

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Q: 2. Find Ju x v| and determine whether u x v is directed into the page or out of the page. |v|= 5 45°…

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Q: Let X ∼ Geom(p), let n be a non-negative integer, and let Y ∼ Bin(n, p). Show that P(X = n) =…

A: From the given information, Consider, X,Y are to be two random variable where x follows geometric…

Q: (2b) Let A and B be sets. Prove that A – B is disjoint from A n BC LA O BE

A: The set A∩B is defined as A∩B=x|x∈A and x∈B The set A-B is defined as A-B=x|x∈A and x∉B Two sets are…

Q: For the following Venn diagram, what is p{(AU B)C}? C. 0.24 0.06 0.08 0.04 0.23 0.23 0.07 A 0.914…

A: See the handwritten solution

Q: If P, stands for "P., then prove that I+1. P, +2. P, +3. P, +...+n. P, = (n+1)!.

A: that is will be...equal the 1 + 1. 1P1 + 2. 2P2 + 3. 3P3 + …. n. nPn = n+1Pn+1. and we know that nPr…

Q: Prove: If a &lt; 0 and b &gt; 0, then | a  + b | &lt; | a | + | b |

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Q: are given be

A:

Q: Let, aj = 3 and for n > 2, an = 2an-1 +1, express a, in terms of n.

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: .....………., ɑn are in A.P., where a; > 0 for all i, show that : 1 If a1, a2, a3, 1 1 n- 1 %3D Va1 +…

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Q: Let A = and U = Then A2017U is equal to ... B

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Q: Let P(A) = 0.4 "and " P(AU B) = 0.6. For what value of P(B) are A "and " B are independent?

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Q: 2) Let mf lu and (a,m)=| a,bE Z such that Let h= Om ( a) show and and (h,m)=1, %3D let. ne OmCab)…

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Q: Prove: If S is open and S = AUB where ANB = ANB = Ø, then A and B are %3| %3| open.

A: ANSWER :

Q: 4.2. Let a, b € Z, where a + 0 and b + 0. Prove that if alb and bla, then a = b or a = -b.

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Q: 2. if f(x)=D x+2 and gu) = x+3. gla)= of メ+) gof and determine if it is one ind and onto [3,00) ??…

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Q: bond, is as shown below, Find * (P(0.4s ts6 0, 1/28, 4/28, 6/28, 7/28, 8/28, 1, 0 <t<1 1<t< 3 3 <t<…

A: We have given that the cumulative distribution function of T, the number of years to maturity for a…

Q: (2) Let S := {1,..., n}. Compute the number of towers of length of the form A1 c A2 c S, where A1 +…

A: A tower of length  set is a basically chain of subsets of different size.

Q: Given u = (-4,7) and v = (5,2), compute the following. Give your answer in the form . a. u + v =| b.…

A:

Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.