You decide to play K number of video games, where K is a Poisson random variable with parameter . Assume that time you spend on a video game k = 1,2,..., K has a normal distribution with mean 4g and variance of. Also assume that 4g >> 0 and of is small, so that you can neglect negative time values. Let T be the total time you spend on playing video games, compute the mean and variance of T.

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.