6.23 The IQs of 600 applicants to 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 stu- dents will be rejected on this basis of IQ, regardless of their other qualications? Note that IQs are recorded to the nearest integers. 6.6 Find the value of 2 if the area under a standard normal curve (a) to the right of z is 0.3622; (b) to the left of z is 0.1131; (C) between 0 and z, with 2 > 0, is 0.4838; ((21) between 2 and z, with z > 0, is 0.9500. r ** \" \"\" *'\"cr' '\"'\" ' 6.15 A lawyer commutes daily from his suburban home to his midtown ofce. The average time for a oneway trip is 24 minutes, with a standard deviation of 3.8 minutes. Assume the distribution of trip times to be normally distributed. (a) What is the probability that a trip will take at least 1/2 hour? (b) If the ofce opens at 9:00 A.M. and the lawyer leaves his house at 8:45 A.M. daily, What percentage of the time is he late for work