4) It has been reported that 48% of teenagers play video games on their phones. A random sample of 60 teenagers is drawn. Find the probability that the proportion of teenagers in the sample who play video games on their phone is less than 0.488. Round to 4 decimal places.
5) 74% of freshmen entering public high schools in 2006 graduated with their class in 2010. A random sample of 81 freshmen is selected. Find the probability that the proportion of students who graduated is greater than 0.749. Round to 4 decimal places.
6) At a certain university, 50% of all entering freshmen planned to major in STEM. A sample of 36 freshmen is selected. What is the probability that the proportion of freshman in the sample is between 0.477 and 0.580? Round to 4 decimal places.
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