VExample 3-27. If p1 = P(A), P2 = P (B), P3 = P (AnB), (Pi, P2 P3 > 0), express the following in terms of p1, p2, P3 (a) P (A U B ) , (b) P(Ā UB), (c) P (Ā OB), (d) P (Ā UB), (e) P (Ā O B) () P (An B ), (g) P (A IB), (h) P (B I A), (i) P[Ā O(A UB)].

Q: Q1) If A- ,B-3 13| Find (–1 x A) + (B+ C)

A: Given that,       A=411-2-193,  B=-5-134013,  C=75-6-19-1

Q: (1) IF: ā=21-j+ k, b=i+2j- 3k, č=-3i+2j+ k Find : a.b, ã.č, č.ã‚ (a+b).(a−b),(ã+ê).(ā-č) (a +2b-3c).…

A:

Q: assume that A={6,8,4,g} and B={3,2,8,d,h,g}. (a) n(A×B)= (b) n(B×B×B)=

A: a) Given that A={6,8,4,g} and B={3,2,8,d,h,g}So, A has 4 distinct elements and B has 6 distinct…

Q: Let u = (2,6, 4) and 7 = (-1, -2, - 7). Compute the following: ū. v = vu - ||||²

A: Since you have asked a question with multiple parts in a single request we would be answering only…

Q: Translate ap(F(p) ^ B(p)) → ajLj) into English where F(p) is "Printer p is out of service," B(p) is…

A:

Q: Let →u=⟨6,−4,−6⟩ and →v=⟨−5,−3,−6⟩. Compute the following:

A:

Q: If B C A, then (i) P(AB)=P(A) - P(B), (ii) P(B) ≤ P(A)

A:

Q: Let ā= (2, 5, 7) and 6 = (1, 3, 4). (a - b) × (a + b) = X (3,16,33) X

A:

Q: When an (1) 3 2 ak+1 = -3ak +2 (k=1,2,3...), a₁ = (1) × [(2)″ +(3) (2) (3)

A: To determine the missing terms in the following.When a1=32ak+1=-3ak+2         k=1, 2, 3, ...,…

Q: Evaluate faJ4(a)da Hint: You may use - (a-PJ, (x)) = -a"Jp+1(x), da O -x- J3 (x) + 2x 2 J2 (a) + c O…

A:

Q: 2 Find u, 3v, v - u, and 2u + 5v. 3 u = (7, 6), v = (4, –4) %3D (a) u 3. (b) 3v (c) V - u

A: Given : u=<7,6> v=<4,-4>.

Q: [1 2 3] ii) Let A = 4 5 6 and B = 5 L78 5] L3 of C32? [-5-5 71 [C11 C12 C13 - 2 4. Suppose BA = |C21…

A: First we state the general formula for multiplication of two matrices and then solve this particular…

Q: [1 -2 3 3 4 12 -1 -21

A: Given : Matrix  1  -2  3 3  0   4 2  -1  -2

Q: Suppose ū = (-1,3,0) and v = (5, –2,5). Which of the following is 3v - u ? Select one: (-8,1,-5)…

A: given  u = (-1,3,0) v= (5,-2,5)

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

A:

Q: Find all (p, q, r) such that ((p + -4) evaluates to 1.

A:

Q: ´5s²–15s-11) -(s+1)(s–2)³. 34-2s 2. i) Find ii) Evaluate (15(s-5)(s+3).

A: The solution is given as

Q: Show that (AB)¹ = BTA¹ if A = 2 0 2 0 and B = -1 1 15) -3 1 -1 -1 2 2). a

A:

Q: 18

A:

Q: iken that I+2=1 xpressyin terms of xand z.

A: A function defines a relationship between two sets, where one set is dependent on other set. Any…

Q: [-1 2 Q5/ Let A = |-2 5 -3] 3 4 ,then the C33 is 0 1 -1 -10 -2

A:

Q: 2-メ Compite lim %3D Xラム z(T-X)

A:

Q: Suppose that P(A) = 0.1, P(B) = 0.3, and P(A|B) + P(B|A) = 0.8. Find P(A ∩ B).

A: From the information, given thatThe formula of the conditional probability, for any two events…

Q: If, (V₁ X V₂) · V3 = 6.5 then what is (V3 X V₁) - V₂? ○ (0,0,0) Cannot be found with the given…

A:

Q: Let a = (2, 4, 6) and b = (4, 2, 4). - (å – 6) × (å + 6)

A: Given: a→=2i^+4j^-6k^ b→=4i^+2j^+4k^ a→-b→=2i^+4j^-6k^-4i^+2j^+4k^          =-2i^+2j^-10k^…

Q: Suppose SCR is a set of numbers. (a) Define inf(S) and sup(S). (b) Show that inf(S) = - sup(-S). (c)…

A: Set: A well-defined collection of objects or numbers is called a set. We can write a set in two…

Q: 2. Find (w + 1)(w-w+1).

A:

Q: Find the Linearspline inter polating C-190) (og-1) (3 l

A:

Q: (b) 6 + 7 + 8 + 9 + ... + k

A: (b) Given that 6+7+8+9+...+k The objective is to find the sum. The formula for sum of numbers are,…

Q: Let 1 -2 1 -1 -3 1 3 A = -2 -1 1 -1 3 0 1 3 0 -4 Then nullity(A) = 2 4 3 O None

A:

Q: 9. 12 (7x + 5) TW

A:

Q: Use substitution method to prove step-by-step that (P^Q)^(P = ¬(Q^R))^(S = R) = –¬S.

A: We are asked to prove the following using the substitution method, P∧Q∧P⇒~Q∧R∧S⇒R⇒~S We will show…

Q: P(A ∪ B) = 0.9, P(B) = 0.7, P(A ∩ B) = 0.5. Find P(A).

A: A detailed solution is given below

Q: (a) Show that (A B)? + |A X B2 = (AB)? %3D

A: Question a) (A.B) = AB*Cos(x°) (A*B) = AB*Sin(x°) where, x is the angle between vector A and vector…

Q: 5-1 2 Compute A-613 and (613)A, where A = -3 -3 A-61₂ = 3-7 1 1 www

A:

Q: Am = 7+ m Bm 2 min {5-m(-1)m+3, 7} R= {m EN: Bm = -4m}, V = {m EN: Bm = -8}, W = {m EN: Bm = 1}. max…

A: