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    Statistics - Binomial Probabilities

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    Question :
    Assuming that X is a binomial random variable with n = 1000 and p = 0.50, find each of the following probabilities.
    (a) P( X < 500 )
    (b) P( 490 < X < 500 )
    (c) P( X > 500 )
    (d) P( X > 550 )

    © BrainMass Inc. brainmass.com June 3, 2020, 7:38 pm ad1c9bdddf
    https://brainmass.com/statistics/probability/statistics-binomial-probabilities-106044

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    Solution Preview

    Given p = 0.50 then q = 1 - 0.50 = 0.50
    Mean = 500 and Standard ...

    Solution Summary

    The detailed step by step solutions are given in the attached solution file with explanation of procedure and formulas used.
    Following are the final answers.
    P( X < 500 ) = 0.4880

    P( 490 < X < 500 )=0.2138

    P( X > 500 ) = 0.4880

    P( X > 550 ) = 0.0007

    $2.19

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