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?

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:

From the given information, the mean is

and the standard deviation is

We substitute the given parameters to obtain;

This means the lower limit is

and the upper limit is

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

(w – 2.5)(w + 2.5)

(–4v – 9)(–4v + 9)

step-by-step explanation: