Answer:
<em>The probability that on a given day the supermarket will sell between 304 and 305 gallons of milk is 0.0127 or 1.27%</em>
Step-by-step explanation:
<u>Normal Distribution</u>
The graph of the Normal Distribution is also called the Bell Curve because of its particular shape. It occurs naturally in many real situations where a random variable needs to be modeled according to experimental results.
To evaluate the probability of a Normal Distribution, we need some kind of digital means because the formula cannot be computed directly in a formula. We'll use the MS Excel's specialized formula NORMDIST for the first value of x=304:
NORMDIST( 304 , 319.9 , 26.4 , true ) = 0.2735
Now for x=305:
NORMDIST( 305 , 319.9 , 26.4 , true ) = 0.2862
Both values are now subtracted to get the required probability
The probability that on a given day the supermarket will sell between 304 and 305 gallons of milk is 0.0127 or 1.27%