Answer to Question #280750 in Physics for Seelyn John

Question

The manufacturer of a brand of juice drink claims that the mean content of its product is 210 ml with a standard deviation of 6.7 ml.

What is the probability that a randomly selected sample of the product contains more than or equal to 213 ml?

What is the probability that a sample contains less than 200 ml? 

Answer 1

$$z_1=\frac{213-210}{6.7}=0.45\\ P(z>0.45)=0.3264\\ z_2=\frac{200-210}{6.7}=-1.49\\P(z<-1.49)=0.0681$$