The length of time it takes college student to find a parking spot in the library parking lot follows a normal distribution with a mean of 6.5 minutes and a standard deviation of 1 minute. We took a same of 30 students and collected the time to took for them to find a parking spot.

1. What is the probability that a randomly selected student will have will need more than 8 minutes to find a parking spot?

2. What is the probability that the man time to find a parking spot of the 30 students will be greater than 7 minutes?

3. What is the probability that the mean time for the 30 students will be less than 5.5 min?

4. What is the probability that the mean time for the 30 students will be between 6.2 min and 7.4 min?