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Math Help - Probability Question Regarding defective chips

  1. #1
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    Probability Question Regarding defective chips

    Question : If a box contains 75 good IC chips and 25 defective chips, and 12 chips are selected at random. Find
    i) the probability that no chip is defective
    ii) the probability that atleast one chip is defective
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  2. #2
    Senior Member Danneedshelp's Avatar
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    Quote Originally Posted by zorro View Post
    Question : If a box contains 75 good IC chips and 25 defective chips, and 12 chips are selected at random. Find
    i) the probability that no chip is defective
    ii) the probability that atleast one chip is defective
    i) You want to probability non of the 12 randomly selected chips are defective. So, the 12 randomly selected chips must be selected from the 75 good chips.

    To me, the best solution is to use the hypergeometric distribution function

    <br />
\frac{\left(\begin{array}{cc}<br />
     25\\<br />
   0\\<br />
\end{array}\right)\left(\begin{array}{cc}<br />
     75\\<br />
   12\\<br />
\end{array}\right)}{\left(\begin{array}{cc}<br />
      100\\<br />
    12\\<br />
 \end{array}\right)}

    Here is some information on how to use the hypergeometric distribution: http://en.wikipedia.org/wiki/Hyperge...c_distribution.
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  3. #3
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    Is this correct?

    Quote Originally Posted by Danneedshelp View Post
    i) You want to probability non of the 12 randomly selected chips are defective. So, the 12 randomly selected chips must be selected from the 75 good chips.

    To me, the best solution is to use the hypergeometric distribution function

    <br />
\frac{\left(\begin{array}{cc}<br />
     25\\<br />
   0\\<br />
\end{array}\right)\left(\begin{array}{cc}<br />
     75\\<br />
   12\\<br />
\end{array}\right)}{\left(\begin{array}{cc}<br />
      100\\<br />
    12\\<br />
 \end{array}\right)}

    Here is some information on how to use the hypergeometric distribution: Hypergeometric distribution - Wikipedia, the free encyclopedia.
    Probability of no chips being defective is P(A)
    <br />
P(A) = <br />
\frac{\left(\begin{array}{cc}<br />
     25\\<br />
   0\\<br />
\end{array}\right)\left(\begin{array}{cc}<br />
     75\\<br />
   12\\<br />
\end{array}\right)}{\left(\begin{array}{cc}<br />
      100\\<br />
    12\\<br />
 \end{array}\right)} = 0.025 .................Is this correct???


    ii) Probability of at least 1 chip being defective

    P(B \ge 1) = 1 - P(A).............am i correct?
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  4. #4
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    Quote Originally Posted by zorro View Post

    P(B \ge 1) = 1 - P(A).............am i correct?
    Yep
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  5. #5
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    Thanks for ur answer

    Quote Originally Posted by pickslides View Post
    Yep

    Thanks for all ur support guys
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