Are E and D independent? Yes O Yes O No Are C and D independent? O Yes O No Find P(D U E) Find P(C U D)

Q: Given P(A) = 0.29, P(B) = 0.29, and P(B|A) = 0.28, are A and B independent or dependent? %3D 1)…

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Q: O Let A BE HUUR). Show that Q AB -BA (A-1I) (B-A1) = (8-A1) (A-1), VA eR 6) CA+B)? = A?+2AB +B? → AB…

A: According to our guidelines we can answer only first three sub-parts and rest can be reposted.

Q: A = (P(0) ^ (Vn e N.P(n) → P(n +1) - 1)) (Yn e N.P(m) В UA А. A entails B В. В entails A С. A and B…

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Q: 3 Let vį = . If u 1 vị and ul v2, then y = -1 -2 a) -9 b) -8 c) 10 d) 9 e) 7

A: We use the definition of perpendicular vectors to find the value of y.

Q: #7. If a 0, a ±b, and b < 0, which of the following is FALSE? 2a2 1. la +이 2a2 lal + 1이 (금) -1 2. b+…

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Q: * 27-28. Consider the Kenken Puzde. What shouid be the value of x and ye 2 y А. х1: у4 B. x= 2; y =…

A: The given puzzle is a 4×4 puzzle. So we have to use the numbers 1, 2, 3, 4.  Rules of KenKen puzzle.…

Q: u.(v+w)=v.u+w.u O True O False

A: Given: u·v+w=v·u+w·u To check whether the statement is true or false.     Note: Since their are…

Q: 4. Let P(A) = 0.4, P(B“)= 0.4, P(BC)= 0.4 & P(C) = 0.6. A and B are independent, A and C are…

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Q: and B are independent Which one of the statements cannot be true? Group of answer choices P(A) +…

A: Given A and B are independent

Q: Given P(A) = 0.27, P(B) = 0.27, and P(B|A) = 0.21, are A and B independent or dependent? %3D %3D 1)…

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Q: 1. (P→T) Premise Select all that apply. (-Т + -R) (-Р— R) 2. Premise 3. Premise n. T Goal A.OP and…

A: As this is a multiple question according to the Bartleby Answering rule, only first question is to…

Q: 2 3 -1 В 3 0 2 Given A = B = 1, C= |1 -2]. Verify that (AB)C = A(BC)

A: The given matrices are A=23-1302, B=112  and  C=1-2. Evaluate (AB)C as follows. ABC=23-1302×112…

Q: (а b)с + (а - с)b + (с b)a 3 ve that v belongs to B.

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Q: Q-3 If P(A) 0.2, P(B) = 0.3, and P(A n B) = 0.1, determine the following probabi а. Р(А' U B) b. P(A…

A: We have given that,  P(A) = 0.2, P(B) = 0.3 and P(A ∩ B) = 0.1 Then,  We will find the following…

Q: Answer whether it is true or false. a. Is 1 ∈ {1}? b. Is {2} ⊆ {1,{2},{3}}? c. Is {1} ⊆ {1, 2}? d.…

A: # we are entitled to solve three subparts, please resubmit the question with other sub parts if you…

Q: Select all of the true statements: Vn eN, 3r e R,n<r

A: Introduction: Except for complex numbers, any number we can think of is a real number. Rational…

Q: 7 6 5 8 7 6 t(A) = 0 and A-¹ does not exist, but adj(A ists.

A: First we calculate the determinant of given matrix A

Q: Let A = Z*, B = {n Ez,0sns 100}, C = {100, 200, 300}. Evaluate if tl statements are True. Explain…

A: Given   B=n∈Z, 0≤n≤100  , A=Z+ and C=100,200,300 16. B⊆A Since every element of B lies in A. But…

Q: M = N- Which of the following statements is / are true? 1) MN = NM 2) MI2 = M 3) MT = N O A. Only…

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Q: Let gcd(a, b) = d then which of the following is correct (i) (ii) b|d (iii) d|(ax – by) v[p a. All…

A: gcd(a,b) = d  So, by definition, d | a and, d | b  &amp;, d | (ax - by) for all integers x &amp; y…

Q: Q2 (Bayes' Theorem) It is given that P(B|A) – 0,15. P (B|A) = 0.03 and P (A) = 06. Compute P(A|B).…

A: Ac=A bar  P(B/A)=0.15, P(B/Ac)=0.03, P(A)=0.60, P(A/B)=?

Q: If P(A) = 0.40, P(B) = 0.35, %3D and if A and B are independent, then P(AUB) equals a. 0.28 O b.…

A: Given data: Events A and B Are independent To find: P(A U B ) = ?

Q: What is the dual of (A A B) v (C A D)? * O (A V B) (C v D) O (A V B) v (C A D) O (A A B) v (C v D) O…

A: We want to find dual of (A∧B)∨(C∧D)

Q: d.Computation e. Decision (Reject Ho or Failed to reject Ho) f. Conclusion

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Q: (j) If the indicators IA, IB satisfy P(IA > IB) = 1/2, and A, B are mutually exclusive, then P(A) =…

A: Given data: P( I a &gt; I b ) = 1/2 A , B are mutually exclusive

Q: 19. If P(A) = 0.60, P(B) = 0.42, and P(A or B) = 0.88, then P(A and B) %3D %3D %3D %3D

A: Given P(A)=0.60P(B)=0.42P(A or B)=0.88

Q: Answer if the statements holds correct or not. Please explain the reason. Given: P(X) = 0.4 ; P(Y)…

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Q: 1. sponding box. Answer true or false for each of (a) – (e) and write your answer in the corre- (a)…

A: The symbol ∈suggests that the term in LHS is an element of the set mentioned in RHS. The symbol…

Q: 20. Let D = {r € R: r > 0 and a² a E. None of the above.

A: Upper Bound :  Let A⊂ℝ and suppose M∈ℝ .If  M≥a for all a∈A then M is one of the upper bound of set…

Q: 1. Which of the following statements are true? I. If A and B are independent then A' and B are…

A: 1. III.…

Q: Let gcd(a, b) = d then which of the following is correct (i) dla (ii) d|b (iii) d[(ax + by) (a) only…

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Q: 6. Which of the following is NOT true? vqa + vPaAg+1 (a) Ag (b) Ag:7| = An+I| +dA As (c) m/n Ar…

A: Given four expected value of assurance functions.

Q: Let gcd(a, b) = d then which of the following is correct (i) dla (ii) d\b (iii) d|(ax + by) (a) only…

A: By using definitionof GCD we solve the given problem as follows :

Q: a. What is P(A|B)? P(A and B)/P(B)=. b. What is P(B|A)? P(A and B)/P(A)= Are A and B independent? C.…

A: a) The required probability is calculated as follows: P(A|B) = P(A and B)/P(B)             =…

Q: 11 If P(A) = , P(B) 3 and P(A U B) = 4 find (i) P(A/B), (ii) P(exactly one of A and B occurs). 12…

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Q: If u ≠ 0 and if u * v = u * w andu # v = u . w, then does v = w? Give reasons for your answer.

A: Given, u≠0, u·v=u·w  &amp;  u×v=u×w Consider, u·v=u·w⇒u·v-u·w=0⇒u·v-w=0⇒v-w=0           ∵u≠0⇒v=w…

Q: 2. Let A, B, and C be as in Exercise 1, let D = {3,2}, and let E = {2,3, 2}. Determine which of the…

A: See solution below. Properties of sets have been used.

Q: A = {a, b, c}, B = {b, c, d}, and С 3 {b, с, е}. (a) Find A U (Bn C), (A U B) n C, and (A U B) n (A…

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Q: P(A) = 0.4 and P(B) = 0.6. If A and B are independent, what is P(A given B)

A: Given that A and B are independent. P(A) = 0.4 P(B) = 0.6

Q: Identify the axiom or postulate that applies to the following statement.     If  x = AB + CD + EF +…

A: We have used the axioms here......

Q: Given P(A|B) = 3 P(A|B°), P(A) = 0.02 and %3D P(B) = 0.25 a) Find P(ANB) b) Find P(B|A) c) Are A and…

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Q: If X and Y are independent, then p(X, Y) = 0

A: The basic rules for mean and variance when two variables are independent are  E[XY] = E[X] E[Y]…

Q: {2} € A and {3} E A implies that {2, 3} C A. Select one: O True O False

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Q: Find P(C | D) Find P(D | C) Are C and D independent? O Yes O No

A: Let , the sample space is ,  S={HHH,HHT,HTH,THH,HTT,TTH,THT,TTT} Here , n(S)=8 Let ,  C=be the…

Q: Suppose that P(A) = 0.5, P(B) = 0.8, P(A∩B) = 0.4. Find: P(AUB) = P(A-B) = P(A|B) = Are A and B…

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Q: find the inverse of the given matrix

A: Given matrix is 1a1b1c1d , where neither a, b, c, nor d is 0. We know that if we have 2×2 matrix…

Q: Let gcd(a, b) = d then which of the following is correct (i) (ii) b|d (iii) d[(ax – by) a. All the…

A: gcd(a, b) = d Hence d|a and d|b

Q: Which of the following is equivalent to (p V q) ^ (-p V s) → (q V s) None O (p+ g) → (p –→ s) True…

A: Truth-table:- p q s p v q ~p v s q v s (p v s)^(~p v s)-&gt;(q v s) T T T T T T T T F F F T F…

Q: If P(A) = 1 P(B) = 2 and P(A U B) 11 find (i) P(A/B), (ii) P(exactly one of A and B occurs), 12 4…

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