Posted by **Anonymous** on Monday, March 8, 2010 at 11:12pm.

Suppose a brewery has a filling machine that fills 12 ounce bottles of beer. It is known that the amount of beer poured by this filling machine follows a normal distribution with a mean of 12.41 ounces and a standard deviation of 0.04 ounce. Find the probability that a randomly selected bottle contains between 12.31 and 12.37 ounces.

- Math -
**Reiny**, Tuesday, March 9, 2010 at 8:15am
Last time I taught this many years ago, we still used tables or charts of "normal distribution values"

We would have to convert everything to z-scores and then look up values.

Here is a little applet that has taken the drudgery away from that

http://www.analyzemath.com/statistics/normal_calculator.html

just enter 12.41 for the mean, .04 for SD, and click on 'between' and enter the values of 12.31 and 12.37

I get .1524

I have used

http://davidmlane.com/hyperstat/z_table.html

in the past, it is really good, and shows the graph, but lately I keep getting an error when I try to enter the SD.

Perhaps it will work for you

- Math -
**Anonymous**, Tuesday, March 9, 2010 at 9:36am
Thank you Reiny, your comments are always helpful. I learn everytime with you.

## Answer this Question

## Related Questions

- Math - Suppose a brewery has a filling machine that fills 12 ounce bottles of ...
- statistics - Suppose a brewery has a filling machine that fills 12 ounce bottles...
- Math-Value of Mean - A brewery has a beer dispensing machine that dispenses beer...
- MATHS STATISTICS - B. A soft-drink vending machine is supposed to pour 8 ounces ...
- College Stats - A machine fills 64 ounce detergent jugs. It is known that the ...
- Statistics - A brewery's filling machine is adjusted to fill bottles with a mean...
- Statistics - The amount of soda a dispensing machine pours into a 12 ounce can ...
- statistics - The actual amount of potato chips that a filling machine puts into ...
- Math - A brewery's filling machine is adjusted to fill bottles with a mean of 31...
- Math Help - A brewery's filling machine is adjusted to fill bottles with a mean ...