13 . The random variable X is defined such that E ( X ) � 700 and Var ( X ) � 15.5 . A random sample of 320 observations is selected from the distribution of X . Let
X be the mean of the sample . By using the central limit theorem ,
( a ) write down E ( X ) ;
( b ) find Var ( X ) ;
( c ) find P ( X � 699.83 ) .
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