Probability Example: High school graduates
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High school graduates: The National Center for Educational Statistics reported that 82% of freshmen entering public high schools in the U.S. in 2009 graduated with their class in 2013. A random sample of 135 freshmen is chosen.
Find the probability that less than 80% of freshmen in the sample graduated.
Find the probability that the sample proportion of students who graduated is between 0.75 and 0.85.
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Solution:
Population Proportion,p=0.82
q=1-p=1-0.82=0.18
Sample Size,n=135
Mean=np=135×0.82=110.7
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