Suppose that the daily fluctuations in the price of a certain stock, in points, is a random variable X  that is uniformly  distributed on  the  interval -1 to 1. We observe  100 daily fluctuations of the stock price.  Find the approximate probability

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Suppose that the daily fluctuations in the price of a certain stock, in points, is a random variable X  that is uniformly  distributed on  the  interval -1 to 1. We observe  100 daily fluctuations of the stock price. 

Find the approximate probability by the Central Limit Theorem that the absolute value of  the  average  of  the  100  measurements  are  within  0.05  units  away  from  the  mean  of  the 
sampling  distribution  of  the  sample  mean.  Since  this  is  a  CLT  problem,  draw  the  “flowchart of clouds”  as  demonstrated  in  the  lectures  with  all  the  elements  of  the  CLT  and  show  complete solutions.

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