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Math Help - Probability Question

  1. #1
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    Probability Question

    Question :
    The probability of error in the transmission of a bit over a communication channel is p = 10^{-4}. What is the probability of more than three errors in transmitting a block of 1,000 bits?
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  2. #2
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    It's a binomial distribution. _{1000}C_x (10^{-4})^x (1 - 10^{-4})^{1000-x}

    So P(X>3) = 1 - P(X <=3)

    where P(X <= 3) = P(X=0) + P(X=1) + P(X=2) + P(X=3)
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  3. #3
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    Is this correct?

    Quote Originally Posted by statmajor View Post
    It's a binomial distribution. _{1000}C_x (10^{-4})^x (1 - 10^{-4})^{1000-x}

    So P(X>3) = 1 - P(X <=3)

    where P(X <= 3) = P(X=0) + P(X=1) + P(X=2) + P(X=3)


    This is what i am getting

    P(X>3) = -0.00015
    ...............Please let me know if it is correct or no????
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  4. #4
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    Quote Originally Posted by zorro View Post
    This is what i am getting

    P(X>3) = -0.00015...............Please let me know if it is correct or no????
    Not correct. For starters, a probability cannot be negative. Please show how you got this answer.
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