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Math Help - Finding mean and sd of a normal distribution.

  1. #1
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    Smile Finding mean and sd of a normal distribution.

    The amount of soft drink in a bottle is a normally distributed random variable. Suppose
    that in 7.08% of the bottles containing this soft drink there is less than 15.5 ounces, and in
    10.03% of them there are more than 16.3 ounces.
    (a) Based on this information, find the mean m and the standard deviation s of the
    amount of soft drink in a randomly selected bottle.
    (b) Find the probability that at least 8 of the next 10 soft drink bottles drawn at
    random contain more than 16 ounces.

    please help me solve this with solutions. thanks.
    Last edited by mr fantastic; March 1st 2010 at 01:30 AM. Reason: Changed post title.
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  2. #2
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    Quote Originally Posted by champman View Post
    The amount of soft drink in a bottle is a normally distributed random variable. Suppose
    that in 7.08% of the bottles containing this soft drink there is less than 15.5 ounces, and in
    10.03% of them there are more than 16.3 ounces.
    (a) Based on this information, find the mean m and the standard deviation s of the
    amount of soft drink in a randomly selected bottle.
    (b) Find the probability that at least 8 of the next 10 soft drink bottles drawn at
    random contain more than 16 ounces.

    please help me solve this with solutions. thanks.
    (a) Read this thread: http://www.mathhelpforum.com/math-he...lp-please.html

    (b) Calculate p = Pr(X > 16).
    Let Y be the random variable 'number of bottles with more than 16 oz'.
    Y ~ Binomial(p, n = 10).
    Calculate \Pr(Y \geq 8).
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  3. #3
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    thank you sir.

    thanks sir. i appreciate it.
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  4. #4
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    question

    sir, how did you change the title of my post? im going to change my other titles coz i didnt know that there are rules in posting.
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