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Math Help - Question on Continuous Probability Distributions

  1. #1
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    Question on Continuous Probability Distributions

    An automatic welding machine is being considered for use in a production process. It will be considered efficient if it is successful on 99% of its welds. Otherwise, it will not be considered efficient. A test is to be conducted with a prototype that is to perform 100 welds. The machine will be accepted for manufacturing if it misses no more than 3 welds.

    a. Calculate the probability that an efficient machine will be rejected for manufacture.

    b. Calculate the probability that an inefficient machine with 95% welding success will be accepted for manufacture.

    Can someone guides me? Thanks for your guides!
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  2. #2
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    Re: Question on Continuous Probability Distributions

    For (a), assume the machine is efficient (in other words, it succeeds 99% of the time). Find the probability that it misses at least 4 welds (this is the complement of it missing no more than 3 welds).

    For (b), assume the machine succeeds 95% of the time. Find the probability that it misses 3 or fewer welds.
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  3. #3
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    Re: Question on Continuous Probability Distributions

    Hi,

    Alright, thanks for the hint and I got an idea on it. Much appreciated!
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