Using the z-score formula as shown below
[tex]z=\frac{x-\mu}{\sigma}[/tex]Calculate the z-score range from 380 miles to 420miles
[tex]\begin{gathered} x_1=380 \\ x_2=420 \\ z_1=\frac{x_1-\mu}{\sigma}=_{}\frac{380-400}{20}=-\frac{20}{20}=-1.0 \\ z_2=\frac{x_2-\mu}{\sigma}=\frac{420-400}{20}=\frac{20}{20}=1.0 \end{gathered}[/tex]The probability for the range will be
[tex]\begin{gathered} Pr(z_1 The probability that a new vehicle off the assembly has a battery range will be between 380 and 420, will be[tex]\begin{gathered} Pr(-1.0Hence, the probability that a new vehicle off the assembly has a battery range will be between 380 and 420 is 0.68Option A is the right answer
