Answer: 0.4013
Step-by-step explanation:
Given : The volumes of soda in quart soda bottles are normally distributed with : [tex]\mu=32.3\text{ oz}[/tex]
[tex]\sigma=1.2\text{ oz}[/tex]
Let x be the volume of randomly selected quart soda bottle.
z-score : [tex]z=\dfrac{x-\mu}{\sigma}[/tex]
[tex]z=\dfrac{32-32.3}{1.2}=-0.25[/tex]
The probability that the volume of soda in a randomly selected bottle will be less than 32 oz = [tex]P(x<32)=P(z<-0.25)[/tex]
[tex]=0.4012937\approx0.4013[/tex]
Hence, the probability that the volume of soda in a randomly selected bottle will be less than 32 oz is 0.4013
