the possible values of a sequence {X„} of identically and independently distributed random variables with the corresponding probabilities 1/2, 1/22, ..., si to wel arii sonsi bns 1/2", ... Then the law of large numbers holds.

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

A:

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: 1 1 1| 1 1 1 If A =|1 1 1|, then A2018. _A?

A: Here given matrix is  A=111111111

Q: Let C: z-3 and I – 6dz. ONone of these

A:

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. | |…

A:

Q: Suppose the chance a randomly selected adult drinks coffee is 70%, of the coffee drinkers 78% drink…

A: a) Let us denote C=coffee drinkerS=soda drinkerGiven that…

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

A:

Q: Is Statement (1) below True or False and WHY? TEA=B is equivalent to "TEA IFF TE B"

A: Let us provide justification and check whether both equations are equivalent or not

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

A:

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

A:

Q: Show that if AB = I, then det(A) 0 and det(B) # 0.

A: Here given as AB=In find determinant both sides detAB=detIndetAB=1

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

A:

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: The table summarizes results from pedestrian deaths that were caused by automobile accidents.…

A: The table summarizes result from pedestrian deaths that were caused by automobile accidents is…

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

A:

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

A:

Q: Compute the following. 8 (²) 5

A:

Q: and xe"y %3D For ay

A: To find out partial derivatives.

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.

A:

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…

A:

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.

A:

Q: A new analytical method to detect pollutants in water is being tested. This new method of chemical…

A: Given that,A new analytical method to detect pollutants in water is being tested. The event A…

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

A:

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…