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The National Center for Educational Statistics reported that 75% of freshmen entering public high schools in...

The National Center for Educational Statistics reported that 75% of freshmen entering public high schools in the United States in 2007 graduated with their class in 2011. A random sample of 135 freshmen is chosen.

a. Find the probability that less than 80% of freshmen in the sample graduated.

b. Find the probability that more than 65% of freshmen in the sample graduated.

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