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A large community college district has 2000 ​teachers, of whom 50​% are men and 50​% are...

A large community college district has 2000 ​teachers, of whom 50​% are men and 50​% are women. In this​ district, administrators are promoted from among the teachers. There are currently 50 ​administrators, and 66​% 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 66​% or​ more? . 012 ​(Round to three decimal places as​ needed.) b. If administrators are selected randomly from the​ faculty, what is the approximate probability that the percentage of female administrators will be 34​% or​ less?

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