Chapter 3.2, Problem 3.33E

To determine

To explain whether the Tiger’s hitting is safe or not.

Answer to Problem 3.33E

Yes, it is a safe hitting.

Explanation of Solution

Given:

  $x~\text{N( 304, 8)}$

Calculation:

Here it is required to check whether the tiger’s hitting is safe or not.

  $\begin{array}{l}P\left(x>317\right)\\ =P\left(\frac{x-\mu }{\sigma }>\frac{317-304}{8}\right)\\ =P\left(z>1.625\right)\\ =1-P\left(z<1.625\right)\\ =1-0.9484\\ =0.0516\end{array}$

Graph:

  

Since the probability is greater than 0.05 so it can be considered as the safe hitting.