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Math Help - Probability help request

  1. #1
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    Probability help request

    I just can't solve this task, I could reach the equation can any one please help me assembling the equations ?

    -It's known that if 6 employees of a huge factory are being checked then the probability that at the most 5 of them smoke is bigger in 0.764702 from the probability that all 6 employees smoke.
    A- What is the probability that all 6 are smoking?
    Final answer:0.117649

    Can anyone please help me with this I have been trying to solve it desperately.
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  2. #2
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    Quote Originally Posted by Mathematicsfan View Post
    I just can't solve this task, I could reach the equation can any one please help me assembling the equations ?

    -It's known that if 6 employees of a huge factory are being checked then the probability that at the most 5 of them smoke is bigger in 0.764702 from the probability that all 6 employees smoke.
    A- What is the probability that all 6 are smoking?
    Final answer:0.117649

    Can anyone please help me with this I have been trying to solve it desperately.
    You are told that \Pr(X \leq 5) = \Pr(X = 6) + 0.764702.

    But \Pr(X \leq 5) = 1 - \Pr(X = 6).

    Therefore 1 - \Pr(X = 6) = \Pr(X = 6) + 0.764702 ....
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  3. #3
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    Is there any way to solve it otherwise ? this method I didn't study yet.
    we are asked to solve it according to Bernoulli's table.
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  4. #4
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    Quote Originally Posted by Mathematicsfan View Post
    Is there any way to solve it otherwise ? this method I didn't study yet.
    we are asked to solve it according to Bernoulli's table.
    It would help if you included information like that in the original posting of the question.

    I have not used some special 'method'. It is a basic application of a basic fact in probability. Surely you have met such facts .... And surely you can solve an equation of the form 1 - x = x + 0.764702.

    I don't see the point in doing it the way you have apparently been told to. Maybe someone else has the time and the inclination.
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