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A large community college district has 1500 ​teachers, of whom 50​% are men and 50​% are...

A large community college district has 1500 ​teachers, of whom 50​% are men and 50​% are women. In this​ district, administrators are promoted from among the teachers. There are currently 40 ​administrators, and 75​% of these administrators are men. Complete parts​ (a) through​ (d) below. a. If administrators are selected randomly from the​ faculty, what is the approximate probability that the percentage of male administrators will be 75​% or​ more?

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