Question

What is the probability a new vehicle off the assembly line is getting a battery range between 380 miles and 420 miles? A) 0.68 B) 0.95 C) 0.997

Answer 1

Using the z-score formula as shown below

`z=(x-\mu)/(\sigma)`

Calculate the z-score range from 380 miles to 420miles

`\begin{gathered} x_1=380 \\ x_2=420 \\ z_1=(x_1-\mu)/(\sigma)=_{}(380-400)/(20)=-(20)/(20)=-1.0 \\ z_2=(x_2-\mu)/(\sigma)=(420-400)/(20)=(20)/(20)=1.0 \end{gathered}`

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 0.68

Option A is the right answer