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Let Y be a Bernoulli random variable with success probability Pr(Y = 1)= p,and let Y1,... ,Yn be i.i.d.draws from this distribution.Let be the fraction of successes (1s)in this sample.In large samples,the distribution of
will be approximately normal,i.e. ,
is approximately distributed N(p,
).Now let X be the number of successes and n the sample size.In a sample of 10 voters (n=10),if there are six who vote for candidate A,then X = 6.Relate X,the number of success,to
,the success proportion,or fraction of successes.Next,using your knowledge of linear transformations,derive the distribution of X.
Forward Contract
A customized financial agreement to buy or sell an asset at a specified future date at a price agreed upon today.
Future Date
A specified day in the future, often used in the context of agreements or financial transactions that will occur at a later time.
Amortized Historical Cost
The accounting method of gradually writing off the initial cost of an asset over a period, adjusting for depreciation or amortization.
Market Value
The present listed price for purchasing or selling an asset or service in a market.
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