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Scilla [17]
3 years ago
10

Suppose that the number of gallons of milk sold per day at a local supermarket are normally distributed with mean and standard d

eviation of 319.9 and 26.4, respectively. What is the probability that on a given day the supermarket will sell between 304 and 305 gallons of milk
Mathematics
1 answer:
miv72 [106K]3 years ago
3 0

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

P(304

The probability that on a given day the supermarket will sell between 304 and 305 gallons of milk is 0.0127 or 1.27%

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