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Math Help - Probability

  1. #1
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    Arrow Probability

    A new factory machine which manufactures computer chips is malfunctioning and has a 20% defect rate. If 5 chips are randomly selected from the machine, find the following probibilities: non are defective; less than 2 are defective.
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    Quote Originally Posted by batman123
    A new factory machine which manufactures computer chips is malfunctioning and has a 20% defect rate. If 5 chips are randomly selected from the machine, find the following probibilities: non are defective; less than 2 are defective.
    The probability that is would be correct is .8, just let us use fractions which is \frac{4}{5}. Now each 5 should be correct thus,
    \left(\frac{4}{5}\right)^5\approx .33.

    For the second part you need to use the formula:
    _nC_mp^m(1-p)^{n-m} to determine the probability of something exactly happening out of a certain amount of times.

    Over here you need it to be zero times exactly OR one time exactly of getting a defect. Zero times is the same as all 5 where non-defective which is the same as in the first problem is 33%. To determine of getting exactly one defect use _5C_1\left(\frac{4}{5}\right)^4\left(\frac{1}{5} \right)^{5-4}\approx .4. Thus, the overall probability is the sum which is approximately 73%.

    This is my 5th post!!
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    Thanks!

    Thanks!!! for all your help
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    Welcomed.
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