Results 1 to 2 of 2

Math Help - Applications of Probability

  1. #1
    Newbie
    Joined
    Feb 2009
    Posts
    2

    Applications of Probability

    The probability that someone will be hospitalized some time during the next year is 0.07. If you consider 4 people who are unknown to eachother, find the probability that:

    a.) 1 of them will be hospitalized during the next year

    b.) none of them will be hospitalized during the next year

    c.) 3 of them will be hospitalized during the next year


    What I have so far.

    a.) 0.07 / 4 = 0.0175

    0.0175 that one will be hospitalized

    b.) would it not just be 0.07?

    Any help is GREATLY appreciated. Thanks!!
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Member
    Joined
    Dec 2008
    From
    Auckland, New Zealand
    Posts
    189
    For (a) I would suggest trying to draw a probability tree but I can see that will get messy and complicated fast.

    Think about it like this:
    P(1st person goes to hospital) = 0.07 x 0.93 x 0.93 x 0.93
    P(2nd person goes to hospital) = 0.93 x 0.07 x 0.93 x 0.93
    P(3rd person goes to hospital) = 0.93 x 0.93 x 0.07 x 0.93
    P(4th person goes to hospital) = 0.93 x 0.93 x 0.93 x 0.07

    So to find the answer add the probabilities = 4 \times 0.93^3 \times 0.07


    Oh and for (b), the chance of one person not being hospitalised is 0.93. So the chance of the 4 people not being hospitalised is 0.93 x 0.93 x 0.93 x 0.93
    Last edited by mr fantastic; March 2nd 2009 at 11:07 PM. Reason: Merged posts
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 5
    Last Post: September 27th 2010, 03:03 PM
  2. Applications
    Posted in the Calculus Forum
    Replies: 1
    Last Post: May 29th 2010, 07:50 AM
  3. APPLICATIONS
    Posted in the Calculus Forum
    Replies: 0
    Last Post: November 6th 2008, 08:06 PM
  4. applications
    Posted in the Calculus Forum
    Replies: 0
    Last Post: November 5th 2008, 11:34 AM
  5. applications
    Posted in the Calculus Forum
    Replies: 0
    Last Post: November 5th 2008, 11:33 AM

Search Tags


/mathhelpforum @mathhelpforum