Create a vector $\text{'}y\text{'}$ containing $\text{'}(2,2,2,2,4,4,4,4,8,8,8,8)\text{'}$ using the $\text{'}$ rep $\text{'}$ function. You might need to check the help file for $\text{'}$ rep$()\text{'}$ by typing $\text{'}?$ rep' in the console to see all of the options that $\text{'}$ rep$()\text{'}$ will accept. In particular, look at the optional argument 'each$=\text{'}.$

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a$.$ Find the mean of vector $\text{'}y\text{'}$ using the function 'mean$()\text{'},$

b$.$ Use google search to find the function in $\text{'}R\text{'}$ that computes the variance of a vector and find the variance of $\text{'}y\text{'}.$