1. In a Statistics examination, the mean score is 72 and the standard deviation is 6. Find the probability that a particular students will have a score: a. At least 75 b. Lower than or equal to 60 2. The scores of 400 applicants who took the examination in a certain company approximate a normal distribution, with a mean of 75 and a standard deviation of 5. a. How many applicants got a score of 80 and above? b. How many applicants got a score of 70 and below? c. How many applicants got a score from 70 to 80? d. What is the lowest score of applicants for interview if only the top 15% will be considered? 3. The IQ's of 600 applicants to a certain college are approximately normally distributed with = 115 and = 12. If the college requires an IQ of at least 95, how many of them will be rejected? Note that IQ's are rounded to the nearest integer