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    total probability from Binomial Distribution

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    The GMAT scores of MBA students is assumed to be distributed normally with a mean of 530 and a standard deviation of 80. The GMAT scores of ten students are selected randomly. What is the probability that at least 7 of the 10 students have SAT scores in excess of 550?

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    https://brainmass.com/statistics/probability/total-probability-binomial-distribution-467459

    Solution Preview

    Hi there,

    Here is my solution:

    z=(x-mean)/standard deviation=(550-530)/80=0.25
    P(z>0.25)=1-0.5987=0.4013.
    There is the probability of a single student ...

    Solution Summary

    The solution provides detailed explanations how to find out the total probability based on binomial distribution.

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