Results 1 to 6 of 6

Math Help - hospital diarrhea

  1. #1
    Member
    Joined
    Apr 2010
    From
    dfsdfdf
    Posts
    160

    Question hospital diarrhea

    Any help offered in solving the below question will be much appreciated.
    Thanks
    Kingman

    In a local hospital , on average 3.5 cases of diarrhea per week and each case is independent of the other similar cases.
    Taking a week as consisting as 7 working days.
    a) Show that the probability that the doctor sees at most 2 cases of diarrhea in a day is 0.986.
    b) Using a suitable approximation, find the probability that, in a random sample of 100 days, there will be more than 96 days in which the doctor sees at most 2 cases of diarrhea in a day. (0.946)
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Senior Member Danneedshelp's Avatar
    Joined
    Apr 2009
    Posts
    303
    Quote Originally Posted by kingman View Post
    Any help offered in solving the below question will be much appreciated.
    Thanks
    Kingman

    In a local hospital , on average 3.5 cases of diarrhea per week and each case is independent of the other similar cases.
    Taking a week as consisting as 7 working days.
    a) Show that the probability that the doctor sees at most 2 cases of diarrhea in a day is 0.986.
    This is Poisson problem with parameter \lambda=3.5. However, we are told there are, on average, 3.5 cases per week (7 days); therefore, we want to consider the value \lambda'=t\lambda=\frac{3.5}{7} as our parameter. Thus, the probability you seek is

    P(Y\leq\\2)=\sum_{y=0}^{2}\frac{(\lambda')^{y}e^{-\lambda'}}{y!}.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Super Member Random Variable's Avatar
    Joined
    May 2009
    Posts
    959
    Thanks
    3
    Best. Title. Ever.
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Member
    Joined
    Apr 2010
    From
    dfsdfdf
    Posts
    160

    thanks

    Thanks very much for answer to part a , but how about part b.
    thanks very much
    Kingman
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Senior Member
    Joined
    Oct 2009
    Posts
    295
    Thanks
    9
    Part B is confusing. It tells you to use the appropriate approximation to solve but then asks you a to find a different probability.

    Can you double check to make sure you posted the question correctly? Maybe there were three parts.

    a)solve by poisson
    b)solve by approximation of poisson
    c)solve the new probability

    Maybe I'm missing something that someone else can point out
    Follow Math Help Forum on Facebook and Google+

  6. #6
    Member
    Joined
    Apr 2010
    From
    dfsdfdf
    Posts
    160

    thaks

    Thanks, apparently the question is referring to solving by approximation of poisson.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. L'Hospital help?
    Posted in the Calculus Forum
    Replies: 1
    Last Post: April 6th 2010, 07:24 PM
  2. L'Hospital for this?
    Posted in the Calculus Forum
    Replies: 10
    Last Post: November 13th 2008, 01:29 AM
  3. l'hospital
    Posted in the Calculus Forum
    Replies: 7
    Last Post: September 24th 2008, 03:18 PM
  4. L'Hospital
    Posted in the Calculus Forum
    Replies: 22
    Last Post: July 2nd 2008, 03:54 PM
  5. L'Hospital
    Posted in the Calculus Forum
    Replies: 4
    Last Post: July 2nd 2008, 11:26 AM

Search Tags


/mathhelpforum @mathhelpforum