Results 1 to 3 of 3

Math Help - Probabilty w/normal distribution

  1. #1
    mrtimex
    Guest

    Question Probabilty w/normal distribution

    Hello all,
    I need some help. Here's the info:

    A Board of trustees has allocated $400,000 for new beds in three hospital wards.

    ----------------Obstetrics Surgery Pediatrics
    Mean # of
    beds used per day: 24______13__________19

    Std. Deviation: 6.1_________4.3_________4.7

    Present Capacity: 30________20________24

    Cost of adding 1 bed:$20,000 $26,000 $15,500



    It is possible for a ward to exceed its capacity, but, according to state guidelines, this should not occur more than 5% of the time.

    I need to find
    1)The probabilty that the demand for beds exceeds capacity in obstetrics.
    and
    2)I need to answer the following questions:
    How many beds should be available in each of the wards?(given the state guidelines)
    Has enough money been set aside to achieve this?
    How much money is required to add the beds necessary to be in compliance with the state?


    Also, if someone can explain what i need to use on a TI-83 calculator to solve this I would be very greatful.

    Sorry about the weird looking data table I couldn't get it to fit right.(I attached a copy in Word if it can't be deciphered)

    Thanks
    Attached Files Attached Files
    Last edited by mrtimex; March 19th 2008 at 09:54 AM. Reason: messed up table
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Grand Panjandrum
    Joined
    Nov 2005
    From
    someplace
    Posts
    14,972
    Thanks
    4
    Quote Originally Posted by mrtimex View Post
    Hello all,
    I need some help. Here's the info:

    A Board of trustees has allocated $400,000 for new beds in three hospital wards.

    ----------------Obstetrics Surgery Pediatrics
    Mean # of
    beds used per day: 24______13__________19

    Std. Deviation: 6.1_________4.3_________4.7

    Present Capacity: 30________20________24

    Cost of adding 1 bed:$20,000 $26,000 $15,500



    It is possible for a ward to exceed its capacity, but, according to state guidelines, this should not occur more than 5% of the time.

    I need to find
    1)The probabilty that the demand for beds exceeds capacity in obstetrics.
    First you need to know the z score corresponding to demand exceeding supply.

    As the normal distribution is continuous we will take this to correspond to 30.5
    patients or more. Then:

    z=(30.5-24)/6.1=1.065

    Now you have to look this up in a table of the cumulative normal distribution.

    RonL
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Grand Panjandrum
    Joined
    Nov 2005
    From
    someplace
    Posts
    14,972
    Thanks
    4
    Quote Originally Posted by mrtimex View Post
    Hello all,
    I need some help. Here's the info:

    A Board of trustees has allocated $400,000 for new beds in three hospital wards.

    ----------------Obstetrics Surgery Pediatrics
    Mean # of
    beds used per day: 24______13__________19

    Std. Deviation: 6.1_________4.3_________4.7

    Present Capacity: 30________20________24

    Cost of adding 1 bed:$20,000 $26,000 $15,500



    It is possible for a ward to exceed its capacity, but, according to state guidelines, this should not occur more than 5% of the time.

    I need to find
    1)The probabilty that the demand for beds exceeds capacity in obstetrics.
    and
    2)I need to answer the following questions:
    How many beds should be available in each of the wards?(given the state guidelines)
    The z-score that is exceeded 5% of the time for a normal distribution is: 1.645.

    Now you need to find the bed capacity that corresponds to this z-score and then round it up to the next integer for each of the wards.

    RonL
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Normal Probabilty Distrubtion
    Posted in the Statistics Forum
    Replies: 1
    Last Post: March 9th 2011, 07:56 PM
  2. Replies: 2
    Last Post: March 29th 2010, 03:05 PM
  3. Probabilty Distribution
    Posted in the Advanced Statistics Forum
    Replies: 2
    Last Post: June 21st 2009, 09:51 PM
  4. Distribution and probabilty - parent and sample
    Posted in the Advanced Statistics Forum
    Replies: 6
    Last Post: March 19th 2009, 09:43 AM
  5. Replies: 1
    Last Post: April 20th 2008, 07:35 PM

/mathhelpforum @mathhelpforum