Psychology 210 Spring 2006 Practice with normal distributions. Part I My cousin Olaf recently graduated from law school at Shady Caribbean University (SCU). Admission at SCU is based on LSAT scores: Those applicants that score higher than 30 get reviewed by the admissions committee and the rest are put into the “desperate only” file. Once they receive the applications, the committee has a policy of automatically accepting students with LSAT scores over 40, and subjecting the rest to more intense scrutiny. The testing service informs me that the population of applicants has a mean of 32 and a standard deviation of 6. 1. What proportion of all applicants gets reviewed by the committee? 2. What proportion of all applicants gets automatic acceptance? 3. What proportion of those who get reviewed by the committee get automatic acceptance?Part II The law firm of Dewey, Cheatham & Howe, hires and promotes associates based on bar exam scores. According to the bar association, the populations of trial lawyers and copyright lawyers have slightly different exam scores: trial lawyers have a population mean of 128 and a standard deviation of 30, while copyright lawyers have a mean of 132 and a standard deviation of 25. After graduating from SCU, my cousin Olaf was hired by DC&H and randomly paired with an office-mate. Olaf, much to the family's surprise, scored a 140 on the bar, and his specialty is copyright law. 1. What percentile did Olaf score in? (comparing him only within his specialty) 2. If Olaf's office-mate is a trial lawyer, what is the likelihood that Olaf did better on his bar exam? 3. If his office-mate is a copyright lawyer? 4. What if I don't know the specialty of his office mate, but I do know that trial lawyers outnumber copyright lawyers 3 to