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The amount of water dispensed by a water dispenser is normally distributed, with a mean of 12.10 ounces and a standard deviation of 0.25 ounces. In which range will the amount of water dispensed be found 99.7% of the time?

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kudzordzifrancis

Answer:

11.35 ounce and 12.85 ounce

Step-by-step explanation:

According to the Empirial rule of the distribution under the normal curve falls within 3 standard deviations of the mean.

That is:

[tex] \mu \pm3 \sigma[/tex]

From the given information, the mean is

[tex] \mu = 12.10[/tex]

and the standard deviation is

[tex] \sigma = 0.25[/tex]

We substitute the given parameters to obtain;

[tex]12.10 \pm3(0.25)[/tex]

[tex]12.10 \pm0.75[/tex]

This means the lower limit is

[tex]12.10 -0 .75 = 11.35[/tex]

and the upper limit is

[tex]12.10 + 0.75 = 12.85[/tex]

Therefore 99.7% of the amount of water dispensed is between 11.35 ounce and 12.85 ounce

Answer:

11.60-12.60

Step-by-step explanation:

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