Results 1 to 2 of 2

Math Help - binomal probability

  1. #1
    Member
    Joined
    Nov 2006
    Posts
    139

    binomal probability

    probability to be fined= 0.22

    suppose the employee irregularly parks on 7 deliveries, what is probab that is not fined??

    Please help now!
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Senior Member slevvio's Avatar
    Joined
    Oct 2007
    Posts
    347
    Let X be the number of times the employee is not fined, so X is a random variable binomially distributed like this:

    X \sim Bi(n, \theta)
    X \sim Bi(7, 0.78) where 7 is the number of times the "experiment" is repeated, i.e. the number of time the employee parks irregularly and 0.78 is the probability that the driver is not fined (1-0.22).

    We want the probability that he is not fined 7 times so we are looking for P(X=7).

     P(X=x) = {{n}\choose {x}}\theta^{x}(1-\theta)^{n-x}
     P(X=7) = {{7}\choose {7}}\ 0.78^7 = 0.78^{7}

    Alternatively just understand that if the employee parks 7 times with probability 0.78 of not getting fined you can work out the total probability by simply calculating 0.78^{7}.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Binomal Expansion
    Posted in the Algebra Forum
    Replies: 2
    Last Post: February 1st 2011, 01:02 PM
  2. Replies: 3
    Last Post: May 29th 2010, 08:29 AM
  3. Probability Distrubution- Binomal or geometric?
    Posted in the Statistics Forum
    Replies: 5
    Last Post: May 5th 2010, 08:08 PM
  4. Binomal 'n' Geo
    Posted in the Statistics Forum
    Replies: 1
    Last Post: April 15th 2010, 04:29 PM
  5. help with binomal question
    Posted in the Discrete Math Forum
    Replies: 1
    Last Post: January 27th 2009, 10:31 AM

Search Tags


/mathhelpforum @mathhelpforum