Results 1 to 3 of 3

Math Help - Probability

  1. #1
    Newbie
    Joined
    Apr 2008
    Posts
    4

    Probability

    i have been given this question

    A whole saler buys items at 35 each. the whole saler sells these in batches of 7 to retailers at 54 per item. It is Known that, on average, 16 items in a thousand are faulty.

    (a) Construct the probability distribution table for the number of faulty items in a batch of 7 items. all probability values must be rounded off to 5 decimal places.

    Please can you Help
    Last edited by ardsuggy; April 11th 2008 at 08:31 AM.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Junior Member roy_zhang's Avatar
    Joined
    Mar 2008
    Posts
    64
    Quote Originally Posted by ardsuggy View Post
    i have been given this question

    A whole saler buys items at 35 each. the whole saler sells these in batches of 7 to retailers at 54 per item. It is Known that, on average, 16 items in a thousand are faulty.

    (a) Construct the probability distribution table for the number of faulty items in a batch of 7 items. all probability values must be rounded off to 5 decimal places.

    Please can you Help
    This is a Binomial probability distribution. Let Y be the random variable which represents the number of faulty items in a batch of 7 items, we have:

    P(y)=\binom{n}{y}p^y(1-p)^{n-y}

    where n=7 and the probability of a given item is faulty is given by p=\frac{16}{1000}=0.016. Now you can use the formula to calculate the probability of no faulty item found in a batch (i.e P(Y=0)=P(0)); the probability of exactly one faulty item found in a batch (i.e P(Y=1)=P(1)) ... etc.

    Roy
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Apr 2008
    Posts
    4
    Thank you for your help Roy
    it has helped me to understand
    thank you
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 10
    Last Post: January 21st 2011, 11:47 AM
  2. Replies: 3
    Last Post: May 29th 2010, 07:29 AM
  3. fundamental in probability & convergence with probability 1
    Posted in the Advanced Statistics Forum
    Replies: 3
    Last Post: February 23rd 2010, 09:58 AM
  4. Replies: 1
    Last Post: February 18th 2010, 01:54 AM
  5. Replies: 3
    Last Post: December 15th 2009, 06:30 AM

Search Tags


/mathhelpforum @mathhelpforum