6. The le of 600 applicants of a certain college are approximately normally distributed with a mean of 115 and a standard deviation of 12. If the college requires an IQ of at least 95, how many of these students will be rejected on this basis regardless of their other qualifications? 7. The transmission on a model of a specic car has a warranty for 40,000 miles. It is known that the life of such a transmission has a normal distribution with a mean of 72,000 miles and a standard deviation of 12,000 miles. 0 What percentage of the transmissions will fail before the end of the warranty period? 0 What percentage of the transmission will be good for more than 100,000 miles? 8. A. Find the w under the standard normal curve. 0 fromz=0toz=1.46 0 from 2 = -O.32 to z = 0.98 0 from 2 = 0.07 to z = 2.51 0 to the right of z = 2.13 0 to the left of z = 1.04) B. Find the value of 2 so that the area under the standard normal curve C from 0 to z is (approximately) 0.1965 and z is positive 0 between 0 and z is (approximately) 0.2740 and z is negative 0 in the left tail is (approximately) 0.2050 0 to the right of z is (approximately) 0.6285