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Bionomial Probability Distribution

  1. Apr 2, 2004 #1
    I need help on this problem.. my answer that i get is the following for A, but i'm not sure. can you help me with a and b. thank you...;.


    In a binomial situation n=5 and pie = .40 Determine the probabilities of the following events using the binomial formula.


    a. x = 1
    n = 5



    P (x) = nCx x (1 - ) n - x


    P (1) = 5!
    1! (5-1)! 1 (.40) 1 (1-.40) 5-1

    120 (.40) 1 (.60) 4

    Answer 1.55184557





    b. x = 2
    n =5
     
  2. jcsd
  3. Apr 2, 2004 #2

    matt grime

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    Science Advisor
    Homework Helper

    The probability of an event lies between 0 and 1. You've got 5 choose 1 as 5!1!, when it's 5, and the 1 and 4 should be powers you're raising 0.4 and 0.6 to.

    If the probability of a success on trial is p (and q=1-p), then the probability of r successes in n trials is:

    [tex] \binom{n}{r}p^rq^{n-r}[/tex]

    where

    [tex]\binom{n}{r} = \frac{n!}{r!(n-r)!}[/tex]

    and is available as a button on your calculator
     
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