Let A={x∈N:3≤x≤13}, A={x∈N:3≤x≤13}, B={x∈N:x is even}, B={x∈N:x is even}, and C={x∈N:x is odd}. Find A∩B.A∩B. Find A∪B.A∪B. Find B∩C.B∩C. Find B∪C.

Q: D2) Let A= Fid ABud BA al B.

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Q: Let B- (X1), and C-(X4). Then P(C)-P(B)-

A: HERE AS PER GUIDELINES I HAVE CALCULATED FIRST MAIN QUESTION ONLY  here given Cumulative…

Q: GIVEN: Z, = 3ej(z/6) Z, = 2ej(#/4) FIND: 1.) Z, Z,

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Q: 8. Let A = {Al, Beth}and B = {up, down, left, right}. Fine %3D

A: # we are entitled to solve one question at a time, please resubmit the other questions if you wish…

Q: Let A and B be sets. 1) If |A| = 10, |B| = 24, and |A n B| = 4, then |A U B| = || %3D 2) If |A U B|…

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Q: Let c d -4, then d c

A: Topic = Determinants

Q: Show that if a < c< b, then fave (a, b) = () fave l(a, c) + C - a | favg [c, b]

A: Solution...

Q: Show that If (A ∩ B = ø) then P (A ∪ B) = P (A) + P (B)

A: Given that A ∩ B = ø This means P(A ∩ B ) = 0

Q: disprove the fallowing A,B and C; of for D PLAUB) - P (A) U P (B) ll

A: Please refer to the image below

Q: Show that if A ⊂ B, then C – B ⊂ C – A.

A:

Q: Let X={a,b,c,d), f = ((a,b),(b,a),(c,c),(d,d)}CX×X, and g= ((a,d),(b,a),(c,b),(d,c)}CX×X. Find gof.…

A: Use the definition of composition of functions to solve this problem as in next step.

Q: Q.A. Is the nonnepatibe orthaut %(D t. a cohvek set?

A:

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: Let X ∼ Bin(n, p), and let Y = n − X. Show that Y ∼ Bin(n, 1 − p).

A: Here X follows Binomial with parameters n and p. Here, Y=n-X. Then Y takes the values n-0, n-1,…

Q: Use the Venn diagram to find n(B UC). B 6 12 16 14 n(B U C) =(Type a whole number.) 3 Enter vour…

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Q: If U is the set of the numbers on a 6- sided die and B is the set of numbers on a 6-sided die that…

A:

Q: dre (se Green dheerm to evapate, the lone ghe Savce Cibandeny ofhe toED regoen lymy the

A: In the given question we have to find the line integral                       where C is the…

Q: let d= gedlab) then prone d C and C=ab

A:

Q: If P(A/B) = 0, then A &B are: Select one: a. Mutually exclusive b. ACB с. ВС А d. Independent

A: There are two events A and B such that PA|B=0 PA|B=PA∩BPB=0 Therefore it follows that PA∩B=0

Q: O Dercribe rector of the vektor wictor spare. the zevo Descri be Hhe additive inverre ofa veltor…

A: Concept:

Q: Suppose P(A)=0.6, P(B)=0.4, and both A and B are independent. Calculate P(A or B).

A: We have to find given probability.

Q: Let I^Ncrip)and qnG6) be cudop endant 5how tuat X1y~NB(t!,.

A: Given information: Given that the random variable X follows negative binomial distribution with…

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 R is a UFD and f(x) , g(x) are elements of R[x] , then c(fg) = c(f)c(g), do not copy paste…

A:

Q: Let A = {raisin, prune, lemon, pear}, B = {lime, cantaloupe, orange}, and C = {lemon, berry, peach,…

A: Given sets are A=raisin, prune, lemon, pearB=lime, cantaloupe, orangeC=lemon, berry, peach,…

Q: Find the union of the sets. {e, m, p, t, y}∪∅

A: we have to find the union of the sets. e,m,p,t,y∪∅

Q: Let a, b, c € Z. If c divides a+b, then e divides both a and b.

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Q: If a is transcedental over Q then a^2 is also transcedental over Q

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Q: O Ho: H Diff = 0; H, H O Ho: H Diff = 0; H, H Diff >0 O Ho: Holder =H Youngeri Hai Holder>HYounger O…

A: Given : An equestrian enthusiast is interested in the racing times of horses. She believes an older…

Q: Let P(A∩B)=0.3, and P(A∩B^c)=0.15. Compute P(B|A). Multiple Choice   0.33   0.45   0.5   0.67

A: Given information- Since, So, P (A) = 0.3 + 0.15 = 0.45

Q: v 26. Show that if a < c < b, then C-a b favg [a, b] = b favg [a, c] + b favg [C, b] a |

A:

Q: Let U = a deck of cards and R = all the red cards and F = all the face cards, %3D then the queen of…

A: True.

Q: 12. Find two sets A and B such that A e B and A B.

A: 12.Find two sets A and B such that A∈B and A⊑B

Q: If m∠BJK = 146 + 2x, m∠IJK = 172°, and m∠IJB = 2x + 26, find x, m∠BJK, and m∠IJB.

A: Given: ∠BJK=146+2x∠IJK=172°∠IJB=2x+26

Q: O If p(A) = 0.17, p(B) = 0.06 and p(A and B) = 0.0102, are A and B independent?

A:

Q: o Let A-

A: The given matrix is : A=1-111 Calculate the value of norm A∞. We know the formula of the infinity…

Q: Let A, B, and C be three sets. If A⊕C=B⊕C, show that A=B

A: Solution : Given that A,B and C are three sets. And the Direct sum of set A and C is equals to…

Q: 23. For sets A and B, if A C B, then B° C A°. F 24. For sets A and B, (A U B)°= A°UB°.

A:

Q: Let n(A) denotes the number of elements in set A. If n(A) =p and n(B) = q, then how many ordered…

A: Given that: n(A)=p, and n(B)=q

Q: Suppose that X is a subset of Y, such that P(Y)>0. Is true or false that P(X|Y) is equal to…

A: It is given that X is a subset of Y This means that PX∩Y=PX...(i) The formula for PX|Y is given by:…

Q: The Venn diagram below shows the number of elements in set A and B. n(A UB). The Venn diagram on the…

A: Given: nA∪B=35, nA∩B=7, nB=19 As  nB=19 ⇒y+7=19⇒y=12

Q: Let A = { c, d, f, g} B = { f, j} C= { d, g} Is C C C? True False

A: Every  set is subset  of it self Here C is subset  of C

Q: Write a proof for: "If a = b and c = a -c = b - d" d, then

A: Consider the given equations, a=b and c=d now, by the subtraction law of Equality, a-c=b-c

Q: Find p and q, if X, = 11, n = 30, X, = 18, and n, = 70. A) p= 0.29 and q= 0.71 B) p= 0.71 and q=…

A:

Q: Let A = {c, d, f, g), B = {f, j}, and C = (d, g}. CsA A) True (B) False

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Q: GIVEN S(x, y) = {0. , 0<r<2, 2<y<4, elsewhere, 10,

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Q: Let n=23 and consider the following information, Model One: Y = Bo + B1X1 + B2X2 + B3X3 + B,X4 +e…

A: Solution: Given information: n= 23 observation: k= 3 independent variable  R2=0.8685

Q: 2. If (x, y) is a sa

A: As per the guidelines, we are supposed to solve one question. Kindly repost the other question as 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”.