I cant figure out these answers and how to work them 1 To us

I cant figure out these answers and how to work them,

1. To use the Central Limit Theorem for Proportions, the quantities np and n(1-p) must be greater than or equal to 10. True or False?

2. At a certain concert, 46% of the auidence was under 20 years old. A random sample of n=248 members of the audience was selescted. Find the value of the mean of the distribution of sample proportions. Only a number as an answer

3.According to one pollster, 60% of people are afraid of flying. Suppose that a sample of size 30 is drawn. Find the value of the standard deviation of the distribution of sample proportions. Round two decimal places.

4. It has been reported that 48% of teenagers play video games on thier 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 0.493. Round four decimal places.

5. 74% of freshman entering public high schools in 2006 graduated with their class in 2010. A random sample of 81 freshmen is selcted. Find the probability that the proportion of students who graduated is greater than 0.747. Round four decimal places

6. At a certain university, 50% of all entering freshmen planned to major in a STEM (science, technology,engineering, mathmatics) discipline. A sample of 36 freshmen is selected. What is the probability that the proportion of freshmen in the sample is between 0.486 and 0.580? Round four decimal places

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