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The county highway department recorded the following probabilities for the number of accidents per day on a certain freeway. Find the standard deviation.Number of accidents X01234Probability P(X)0.30.10.30.20.1Hint: The mean is 1.7.

User Maikkeyy
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1 Answer

21 votes
21 votes

Let's begin by listing out the given information:


\begin{gathered} X=0,1,2,3,4 \\ P(X)=0.3,0.1,0.3,0.2,0.1 \\ \mu=1.7 \end{gathered}

The formula to calculate the standard deviation is shown below:

Therefore,

The county highway department recorded the following probabilities for the number-example-1
User Ilya Ayzenshtok
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