NAME _____________________ Set due on 3/17; Exam 2 on 3/24 Unit 2 Problem Set 1. Harbor College Day and PACE students were stopped and asked their opinion regarding a new proposed way to handle the statistics requirement for the major. Students could either take Introductory and Intermediate Statistics OR volunteer for a new dental procedure at Harbor-UCLA dental school: a very fast root canal done without any anesthetics, which shortens recovery time substantially. Credit for two semesters of statistics would be given to all volunteers. This is how the students responded: DAY STUDENTS Speedy Root Canal with no anesthesia 25 Two semesters of statistics 80 PACE 70 25 Margin total Margin total A. What was the marginal probability of being a day student in this sample? B. What was the probability that, given you were a PACE student in this sample, you would prefer to take statistics for two semesters? C. What was the probability in this sample of being a day student who'd rather have root canal than take statistics? (Day student AND root canal) D. What was the probability of being PACE student OR preferring to take statistics? 2. For a statistics examination with a mean of 55 and standard deviation of 1.5, please calculate: a. The z score for a raw score of 53 b. The z score for a raw score of 57 c. The probability of achieving a score between 54 and 58 d. Your spawn-of-Satan statistics professor says, \"The top 10% of the class will get an A.\" What score must a student achieve to be sure of getting an A? #3 a. You are shopping at The Rubber Tree for a few goodies to share with your squeeze. They are offering a summer \"box of joy\" special where you can choose: - 6 different flavored lotions 7 different colors of satin sheet 4 different books of erotic \"suggestions\" to spice up your love life How many different \"box of joy\" combos are available for purchase? b. While shopping at the Rubber Tree, you have a .25 chance of running into a Long Beach City Council member and a .75 chance of running into a Justin Timberlake fan. What is your probability of running into a non-city council member who likes Justin? What is your chance of running into a person who is AND isn't a Justin fan? Is OR isn't? c. You have five boyfriends/girlfriends whom we'll refer to as \"A\