Theorem 3-6. If A and B are any two events (subsets of sample space S) and are not disjoint, then P(AU B) = P (A) + P (B) – P(AO R)

Q: is there a step missing after "Hence"?

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Q: Which of the following is equivalent to S = {spring, summer, autumn, winter}?

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Q: Prove the following: 1. erfc(∞) = 0

A: Below we have given the definition of erf(x) and relationship between erf(x) and erfc(x).

Q: A. let w-e te Find W2

A: We can solve this using u/v rule

Q: 2. Compute each of the following. (2bdm from 5.4) (2361)(CD) 10 (VCC1) (93)(VE) (EC) 19

A: Introduction: Multiplication is a mathematical operation that represents the fundamental concept of…

Q: (A) In y

A: The detailed solution is as follows below:

Q: Question 2 Prove or disprove: Let m, n E Z. If m - n is odd, then m and n have opposite parity. | |…

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Q: 6. Prove that if alb and k E Z, then a|(b+ ak).

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Q: Prove that if CE AB and C+ A, then AB AĆ.

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Q: Prove that if A and B En and Ac B, then

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Q: If E, and E2 are measurable then (E,UE) is not measurable .

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Q: If z1:2., are complex numbers such that =|= =. = |=,| =1, Prove that

A: To prove: z1+z2+…+zn=1z1+1z2+…+1zn Given: z1=z2=…=zn=1 Since, (1) zz¯=|z|2 (2) z=z¯

Q: are in A.P., b, c, d are in G.P. and at a, c, e are in G.P. -10 - e

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Q: Section 2.2 as) Given: mく3 > m<4 a Prove FH is not I to EG H.

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Q: Compute the following. 8 (²) 5

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Q: Prove the following (i) If G = & {4,N}, then E(§|G) = E(£) a.s.

A: Let us take the approach of the use of sets and logic to approach the solution to the given problem,…

Q: a PDE from the following- @u =f() Form メソ

A: We eliminate the arbitrary function f from the given equation to form the required partial…

Q: 1. Show that sup{1-1/n : ne N} = 1.

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Q: 5. If A = I then what is A?

A: Here given as A2=I Taking determinant both side A2=IA2=1A=±1 Thus A is non singular and inverse of A…

Q: A = 2 1 2 0 1 -H B = W = w-B Find the following: a- A², AB, det(A) b- If AW=B, find (W) using…

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Q: B=(2,).Then 2 E3 %3D

A: Some definitions: Interval:  Let S⊂ℝ, then we say S is an interval if c,d∈S such that c≠d. Then, ∀…

Q: Given A = 03-2 00 1 compute et.

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Q: (А - B) - С - (А -C)- (В - C)

A: Introduction :

Q: Evaluate the following E jOO) i() ())]

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Q: Prove that Z(D,) # {1} if and only if 2|n (hint: if 2|n look at ri).

A: Let us suppose, Dn=e,r,r2,..,n-1,f,rf,..,rn-1f and nis divided  by 2. Then, n2 is a integer. We see…

Q: Prove that A N (BU C) = (A N B) U (A N C) by giving a Venn diagram proof. Label your diagram(s)…

A: Venn diagram are pictorial representations of mathematical or logical sets of data as closed curves…

Q: Prove That Cn) =nsh ツールがー

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Q: Prove or disprove that if (A U B) C (An B), then A = B

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Q: Prove the following: (a) If a, b, c e Z+ and a +b= c then (c, [a, b)) = (a,b). %3D

A: Since you have asked multiple question, we will solve the first question for you. If you want any…