mean of 505 standard deviation of 111 scholarships are awarded to students whose scores are in top 7 % what is the minimum score required for the scholarship

You need to find the inverse cumulative normal distribution at p = 0.93 (the value below which 93% of scores lie).

So we have normcdf ( p = 0.93, mean = 505, sd = 111) = 668.81.

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