ED V U tarletoninstructurecom C [I] + 33 HW 3 VitalSource Bookshelf: Sport Psychology 1. For a normal distribution with a mean of u = 75 and a standard deviation of a' = 12, nd the proportion of the population corresponding to each of the following: (a) Scores greater than 80 (b) Scores less than 62 (c) Scores between 50 and 90 2. IQ test scores are standardized to produce a normal distribution with a mean of [J = 100 and a stande deviation of a = 15. Find the proportion of the population in each of the following IQ categories: (a) Genius or near genius: IQ greater than 142 (b) Very superior intelligence: IQ between 120 and 142 (c) Average or normal intelligence: IQ between 90 and 110 3. The distribution of scores on the SAT is approximately normal with a mean of p = 500 and a standard deviation of (T = 100. For the population of students who have taken the SAT, (a) What proportion have SAT scores less than 450? (b) What proportion have SAT scores greater than 750? 4. Over the past 10 years, the local school district has measured physical tness for all high school freshmen. During that time, the average score on a treadmill endurance task has been M = 19.8 minutes with a standard deviation of a = 7.2 minutes. Assuming the distribution of these scores is approximately normal, nd each of the following probabilities: (a) What is the probability of randomly selecting a student with a treadmill time greater than 28 minutes? (b) If the school required a minimum time of 12 minutes for students to pass the physical education course, what proportion of the freshmen would fail? tarleton.instructure.com C + 88 HW 3 VitalSource Bookshelf: Sport Psychology SP22 - Stat Methods in Psychology PSYC-2317-050/... > Assignments > HW 3 My) Immersive Reader Spring 2022 HW 3 Start Assignment Home Grades Due Sunday by 11:59pm Points 10 Submitting a file upload File Types doc, docx, and pdf Course Evaluations Available until Feb 6 at 11:59pm HEb The assignment can be downloaded here & . You can either (1) hand write your solutions and scan to a PDF, or (2) write your solutions in Word / OpenOffice with a DOC or DOCX extension. Attach the file here and submit. IMPORTANT NOTE: To show your work for this unit, you will need to list what is entered on the online calculator. For ? example, this could look like, "Normal, Mean: 100, SD: 15, Area: Middle, a: 70, b:100."