6. A new evaluation scheme is to be introduced to at a college. Usually for a statistics course at that college, the result is normally distributed with mean of71 and a standard deviation of 9.5.

a)If top 3% of students will receive a scholarship of $1000, what is the minimum score required to receive this award? Round your final answers to thenearest whole number.

b)The bottom 2% of the students would be considered fail in the course and must repeat the course. What is the minimum score required for a student to avoid repeating the course? Round your final answers to the nearest whole number.