Results 1 to 4 of 4

Math Help - standard deviation in probabilty??? help

  1. #1
    Junior Member
    Joined
    Mar 2009
    Posts
    32

    Post standard deviation in probabilty??? help

    Miguel buys a large bottle and a small bottle of juice. The amount of juice that the manufacturer puts in the large bottle is a random variable with a mean of 1024 ml and a standard deviation of 12 ml. The amount of juice that the manufacturer puts in the small bottle is a random variable with a mean of 506 ml and a standard deviation of 3 ml. If the total amount of juice in the two bottles can be described by a normal model, what's the probability that the total amount of juice in the two bottles is more than 1548.6 ml?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Flow Master
    mr fantastic's Avatar
    Joined
    Dec 2007
    From
    Zeitgeist
    Posts
    16,948
    Thanks
    5
    Quote Originally Posted by arslan View Post
    Miguel buys a large bottle and a small bottle of juice. The amount of juice that the manufacturer puts in the large bottle is a random variable with a mean of 1024 ml and a standard deviation of 12 ml. The amount of juice that the manufacturer puts in the small bottle is a random variable with a mean of 506 ml and a standard deviation of 3 ml. If the total amount of juice in the two bottles can be described by a normal model, what's the probability that the total amount of juice in the two bottles is more than 1548.6 ml?
    The mean of the normal distribution is 1024 + 506 and the variance is 12 + 3.

    Now calculate Pr(X > 1548.6).
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Junior Member
    Joined
    Mar 2009
    Posts
    32
    Quote Originally Posted by mr fantastic View Post
    The mean of the normal distribution is 1024 + 506 and the variance is 12 + 3.

    Now calculate Pr(X > 1548.6).
    thank you for your help but how do i go about calculating Pr(X > 1548.6) i am confused and new to this variable stats.
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Flow Master
    mr fantastic's Avatar
    Joined
    Dec 2007
    From
    Zeitgeist
    Posts
    16,948
    Thanks
    5
    Quote Originally Posted by arslan View Post
    thank you for your help but how do i go about calculating Pr(X > 1548.6) i am confused and new to this variable stats.
    You know X ~ normal(mean = 1024 + 506, variance = 12 + 3). And you should have been taught how to calculate probabilities that follow a normal distribution. So where are you stuck in finding Pr(X > 1548.6)?
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Standard Deviation
    Posted in the Statistics Forum
    Replies: 2
    Last Post: June 28th 2011, 03:20 PM
  2. Replies: 5
    Last Post: May 18th 2009, 05:14 AM
  3. Standard deviation
    Posted in the Statistics Forum
    Replies: 5
    Last Post: April 14th 2009, 06:43 AM
  4. mean and standard deviation
    Posted in the Business Math Forum
    Replies: 3
    Last Post: April 2nd 2009, 01:23 AM
  5. standard deviation and mean deviation
    Posted in the Statistics Forum
    Replies: 1
    Last Post: March 16th 2008, 06:09 AM

Search Tags


/mathhelpforum @mathhelpforum