The following data are the result of a historical study of the number of flaws found in a porcelain cup produced by a manufacturing firm. Use these data and the associated probabilities to compute the expected number of flaws and the standard deviation of flaws.

$\backslash$table$[[$Flaws$,$Probability$],[0,0\mathrm{.}453],[1,0\mathrm{.}288],[2,0\mathrm{.}128],[3,0\mathrm{.}093],[4,0\mathrm{.}038]]$

$($Round the intermediate values and final answers to $3$ decimal places, e$.$g$.0\mathrm{.}215.)$

Expected number $=$

Standard deviation $=$