Question

Is it likely that there will be more than 20 teens killed from motor vehicle injuries on any given day in the U.S.? Justify your answer numerically.

Short answer

No, it is not likely that there will be 20 teens killed from motor vehicle injuries on any given day in the U.S.

Step-by-step solution

:Given

Eighteen teens on average dies due to motor vehicle accident every day.

Formula Used:

$P(X=x)=\frac{e^{-\lambda }{\lambda }^x}{x!}$

:Calculation

The probability of no killing from motor vehicle injuries on any given day in the U.S.

$$\begin{gathered} P(X=x)=\frac{e^{-\lambda }{\lambda }^x}{\mathbf{\text{x!}}} \\ P(X=0)=\frac{e^{-x^{20}}}{\mathbf{\text{20!}}} \\ P(X=0)=0.0001~0 \end{gathered}$$

:Interpretation

No, it is not likely that there will be 20 teens killed from motor vehicle injuries on any given day in the U.S., this is simply because the probability of no killing from motor vehicle injuries on any given day in the U.S is approximately ZERO.