Question

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.

Answer 1

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,