# Barbara is a quality control inspector at a shoe factory. At the end of each day, she checks

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Question: Barbara is a quality control inspector at a shoe factory. At the end of each day, she checks the number of imperfections found in sneakers. The table below represents the probability density function for the random variable X, t imperfections found in sneakers per day. Find the standard deviation of X. Round the final answer to two decimal places

 x P(X=x) 0 1/4 2 1/4 4 1/4 7 1/4

Given: Barbara is a quality control inspector at a shoe factory. At the end of each day, she checks the number of imperfections found in a sneakers.

We are given following table in which X : The number of imperfections found in sneakers per day.

We have to find the standard deviation of X.

Formula:

$Std&space;=&space;\sqrt{\sum&space;x^{2}&space;\times&space;P(x)-(\sum&space;x&space;\times&space;P(x))^{2}}$