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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 - ,

    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

    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

    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 - ,

    Thank you Reiny, your comments are always helpful. I learn everytime with you.

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