Results 1 to 2 of 2

Math Help - Conditional probability.

  1. #1
    Newbie
    Joined
    Jul 2010
    Posts
    1

    Conditional probability.

    Please let me know if I solved this problem correctly. I had stats many years ago, so I am trying to refresh my math skills. If I didn't solve this problem correctly, please guide me.
    Thanks so much for your help!

    Problem: A large research hospital has accumulated statistical data on its patients for an extended period. Researchers have determined that patients who are smokers have an 18% chance of contracting a serious illness such as heart disease, cancer, or emphysema, whereas there is only a .06 probability that a nonsmoker will contract a serious illness. from hospital records, researchers know that 23% of all hospital patients are smokers, while 77% are nonsmokers. for planning purposes, the hospital physician staff would like to know the probability that a given patient is a smoker if patient has a serious illness.
    Answer: .23*.18 + .77 * .06=.0876
    .23 * .18 / .0876 = .4726
    Last edited by mr fantastic; July 6th 2010 at 06:47 PM.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Flow Master
    mr fantastic's Avatar
    Joined
    Dec 2007
    From
    Zeitgeist
    Posts
    16,948
    Thanks
    5
    Quote Originally Posted by wekayak View Post
    Please let me know if I solved this problem correctly. I had stats many years ago, so I am trying to refresh my math skills. If I didn't solve this problem correctly, please guide me.
    Thanks so much for your help!

    Problem: A large research hospital has accumulated statistical data on its patients for an extended period. Researchers have determined that patients who are smokers have an 18% chance of contracting a serious illness such as heart disease, cancer, or emphysema, whereas there is only a .06 probability that a nonsmoker will contract a serious illness. from hospital records, researchers know that 23% of all hospital patients are smokers, while 77% are nonsmokers. for planning purposes, the hospital physician staff would like to know the probability that a given patient is a smoker if patient has a serious illness.
    Answer: .23*.18 + .77 * .06=.0876
    .23 * .18 / .0876 = .4726
    Correct (assuming you pressed the correct buttons on your calculator).
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 0
    Last Post: July 22nd 2011, 01:39 AM
  2. Conditional Probability using the Law of Total Probability
    Posted in the Advanced Statistics Forum
    Replies: 1
    Last Post: October 7th 2010, 03:01 AM
  3. conditional probability
    Posted in the Advanced Statistics Forum
    Replies: 1
    Last Post: June 20th 2010, 01:38 PM
  4. Conditional Probability
    Posted in the Statistics Forum
    Replies: 3
    Last Post: May 11th 2010, 10:14 AM
  5. Continuous probability - conditional probability
    Posted in the Statistics Forum
    Replies: 1
    Last Post: October 1st 2009, 01:21 AM

Search Tags


/mathhelpforum @mathhelpforum