Results 1 to 2 of 2

Math Help - one last question and its doing my head in!

  1. #1
    Newbie
    Joined
    Jul 2012
    From
    new zealand
    Posts
    2

    one last question and its doing my head in!

    stats. question regards to flavoured milk.
    The probability that a flavoured milk container holds more than 500mL of use is 0.2. If a batch of 10 of these milk containers is tested, what is the probability that:
    (a) At least half of them will contain more than 500mL?
    (b) None of them will contain more than 500mL?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Junior Member
    Joined
    May 2012
    From
    Bristol
    Posts
    30
    Thanks
    4

    Re: one last question and its doing my head in!

    To answer this question you want to think about the possible combinations of containers. In particular (I'll start with (b), as it is the simpler case):

    (b) The probability of 500ml (call this event A) is 0.2, which means the probability of <=500ml (call this event B) is (1-0.2)=0.8. So, for this part of the question, you want to consider the probability that all 10 containers have <=500ml, which is the probability associated with 10 instances of event B (hopefully you understand how to treat AND and OR in probability calculations?).

    (a) In this part of the question, a number of combinations are acceptable, you could have 5 instances of event A (lets call this 5A for brevity), and 5 instances of event B (5B), or 6 instances of event A (6A) and 4 instances of event B (4B) etc. So, the entire set of scenarios is:

    5A and 5B or
    6A and 4B or
    7A and 3B or
    8A and 2B or
    9A and 1B or
    10A and 0B

    I hope that makes sense.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Elephants and Stats going head to head
    Posted in the Statistics Forum
    Replies: 1
    Last Post: March 25th 2012, 10:52 PM
  2. Question from a non-math-head
    Posted in the Advanced Math Topics Forum
    Replies: 6
    Last Post: December 30th 2010, 12:56 PM
  3. This integral is doing my head in!
    Posted in the Calculus Forum
    Replies: 7
    Last Post: April 6th 2010, 10:40 PM
  4. AP this question is beating my head off!
    Posted in the Algebra Forum
    Replies: 2
    Last Post: May 10th 2009, 10:45 AM
  5. Can't get my head around this
    Posted in the Algebra Forum
    Replies: 3
    Last Post: September 9th 2008, 02:16 PM

Search Tags


/mathhelpforum @mathhelpforum