Results 1 to 3 of 3

Math Help - Continuous distributions-approximations

  1. #1
    Junior Member
    Joined
    Feb 2009
    Posts
    40

    Cool Continuous distributions-approximations

    Hi,
    Can any one help me on part(c) of the following question. I did part(a),(b). Answer for (c) is 8days.
    Q) A marina hires out boats on a daily basis. The mean number boats hired per day is 15. Using the normal approximation for a Poisson distribution find for a period of 100 days.
    (a) How often 5 or less boats are hired
    (b) How often exactly 10 boats are hired
    (c) On how many days they will have to turn customers away if the marina owns 20 boats.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor

    Joined
    Apr 2005
    Posts
    15,546
    Thanks
    1395
    (c) is done pretty much the same as (a) and (b). Find the probability that the number of boats requested is greater than 20: P(x> 20.5).
    Notice that I used the "integer correction". In the Poisson distribution, x must be an integer. In the Normal distribution it can be any real number. We need to use x in the normal distribution that would round to the given integer. Did you do that for (a) and (b)? (a) would be P(x< 5.5), (b) is P(9.5< x< 10.5) and (c) is P(x> 20.5).
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Junior Member
    Joined
    Feb 2009
    Posts
    40

    Continuous distributions-approximations

    Hi HallsofIvy,
    Thanks.
    Yes, I did (a) & (b) just the way you've explained.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. approximations of distributions 2
    Posted in the Advanced Statistics Forum
    Replies: 4
    Last Post: June 22nd 2010, 04:08 AM
  2. approximations of distributions
    Posted in the Advanced Statistics Forum
    Replies: 7
    Last Post: June 20th 2010, 03:31 PM
  3. Continuous Probability Distributions
    Posted in the Advanced Statistics Forum
    Replies: 3
    Last Post: March 28th 2010, 01:09 PM
  4. approximations for discrete distributions
    Posted in the Advanced Statistics Forum
    Replies: 1
    Last Post: May 29th 2009, 09:33 PM
  5. Continuous distributions
    Posted in the Advanced Statistics Forum
    Replies: 2
    Last Post: February 24th 2009, 06:55 PM

Search Tags


/mathhelpforum @mathhelpforum