The average mean score for the SAT is 1300.The standard deviation is 100.Find probability of the followings:

1.What is a probability that one's SAT score is higher than 1500?(0.5% of your grade)

2.What is the probability that one's SAT score is between 1270 and 1500? (0.5% of your grade)

3.Let us say that someone's SAT score is the 95%.What is their SAT score? (0.6%) of your grade) (Hint: Remember the normal distribution table.You can get X from the formular Z=x-u/sigma.I am giving you the probability, and you need to find the corresponding Z and find the X)

Let us assume that there are 16 students who took the SAT in your class.The 16 students' SAT score average was 1350.Find the probabilities of the followings.

4.What is the probability that MEAN score of the 16 students is higher than 1350? (0.7% of your grade)

5.The number of students increased to 25 from 16.How the answer for 3 changes?(0.7% of your grade)