For the question below, I'm confused in approaching it through binomial distribution and the two distinct variables. How should I approach the question? Thank you!

There are 40 students in an elementary statistics class. On the basis of years of experience, the instructor knows that the time needed to grade a randomly chosen first examination paper is a random variable with an expected value of 6 min and a standard deviation of 6 min.

1. If grading times are independent and the instructor begins grading at 6:50 p.m. and grades continuously, what is the (approximate) probability that he is through grading before the 11:00 p.m. TV news begins?Give your answer to 3 decimal places.
2. If the sports report begins at 11:10, what is the (approximate) probability that he misses part or all of the report if he waits until grading is done before turning on the TV?