Answer to Question #219257 in Statistics and Probability for mike

Question

Use technology to solve the following problem: A bottler of drinking water fills plastic bottles with a mean volume of 1,002 milliliters (mL) and standard deviation  The fill volumes are normally distributed. What proportion of bottles have volumes less than 

Answer 1

$\mu=1002$

$\sigma=7$

$P(x<1000)-?$

$z=\frac{x-\mu}{\sigma}=\frac{1000-1002}{7}=-0.29$

$P(x<1000)=P(z<-0.29)=0.38591$