Please help with Probability Space functions. The problem is shown in the attachment. I was struggling in understand the concept and I’ll be grateful if you can show me the steps to solutions. Thanks in advance!

1 . If C 1, CZ, C3 . …. are sets such that Cr C Ch+ 1 . K = 1, 2, 3 . …. limk_ too CR is defined as theunion C , UC 2 UC , U …. Find lim k_ too CK.( 2 ) CK = Lac ER : 1 / K < < < 3 – 1/ Kj , K = 1, 2, 3 , … .( b ) Ck = ( ( 2 , 4 ) ER 2 : 1 / k < 2 2 + y 2 { 1 – 1 / K} , K = 1, 2, 3 . … .2 . If C 1 , C2, C3 . …. are sets such that ( * ) Ck+1 . K = 1 , 2 , 3 . … . limk_ too CR is defined as theintersection CIn Cz N C; M …. Find limk_ too CK.( a ) CK. = {` ER : 2 – 1 / K < < < 2) , K = 1, 2, 3 . ….( b ) Ck = { ER : 2 < < < 2 + 1 / K; ] , K = 1 , 2, 3 , … .( C ) Ck = ( ( 2 , 4 ) E RR 2 : 0 < 2 2 + y ? < 1 / K;] , K = 1, 2, 3 . ….3. For every one- dimensional set C , define the function @ ( C ) = > of (a ) , where f (a ) – 12/ 31 ( 1/ 3 )2 .I = 0. 1, 2. …. zero elsewhere . If ( 1 = 12 : 2 – 0. 1, 2, 31 and C 2 – 12 : 2 – 0, 1, 2…. ], findQ ( ( 1 ) and Q ( ( 2 ) . Hint : Recall that S = at art … + arn- 1 = a ( 1 – pro ) / ( 1 – 8) , and hence , itfollows that Jim ~ _ too S = a / ( 1 – 7 ) provided that | ~| < 1 .4. Let C be a set in one- dimensional space and let @ ( C ) be equal to the number of points in C’ whichcorrespond to positive integers . Then Q ( C ) is a function of the set C . Find @ ( C ) .( 2 ) C = PIER : 0 < < < 5).( b ) C = 6 – 2, – 1} .( C ) C = LIER : – 00 < < < 6}.

 

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If economic depreciation refers to diminution in value because of obsolescence, physical wear and tear, technological advances in substitute goods, or changes in consumption behavior, tastes and distributional behavior, what accounts for the appreciation in value of the following:1) Real estate commercial office buildings in New York City or brownstone townhomes on Capitol Hill, NE, Wash. D.C. 2) Residential Coops and Condos in Back Bay Boston, or Cambridge, Mass.3) American Classic Cars e.g. 1950’s GM Chevy Corvette, GM Eldorado Cadillac, or 1960’s Ford Mustang.4) Topps trading cards featuring baseball players Ted Williams, Henry Aaron, Willie Mays or Mickey Mantle.5) Numismatic Coins such as Civil War silver dollars, two-sided Buffalo nickels, or American Eagle Gold Dollar Coins.Explain how a sale would be generally treated under the federal tax law for each item listed above.

 

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If det(C) is not equal to 0, then the portfolio-weight vector ​ lies on the MLV (with mean return  ) then it can be expressed as

​​​

where ​ and ​ do not depend on . Explicitly write down the quantities ​ and ​ .

 

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if I am out on an audit and reviewing financial statements for the abc brokerage firm. for year end 2010 abc’s balance sheet reflects assets of 1,200,000 and liabilities of 1,250,000. the commissions receivable are 300,000. what is the net capital for the year end?

 

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If I am getting information from my textbook, but not directly quoting it, do I still have to cite it in parenthesis in APA?

Example:

Textbook: Cleavage is the tendency of a mineral to break along planes of weak bonding.

My words: Cleavage describes a mineral’s inclination to split along areas of weak atomic bondage upon being broken.

 

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