# total probability from Binomial Distribution

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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#### 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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