Find the necessary probability for normal distribution.

1. The scores on the verbal portion of the SAT have a normal distribution with a mean of 500 and standard deviation of 100.

 -What is the proportion of people that score at least 700?

 -If a student who took the SAT is randomly chosen what is the probability that the student scores at most 350 on the verbal portion?

-George scored higher than about 62 percent of the people on the verbal portion of the SAT.  What is George score?

2. The average number of hours of sleep per night that a college freshman gets is 6.50 with a standard deviation of 1.80 hours.  If 35 college freshmen are randomly chosen find the probability that they average at least seven hours of sleep per night.