please answer all questions on this sheet, i included a picture of the textbook page to answer the 1st question on the worksheet. please show any work if possible.

'hormgll curVeilf convenient, use technology to nd the a Ea ~'23. T6 the left of: 25. To the left of z V o the right of Z i ' 29. To merig'nla of :7 Week 4: Graded Homework: The following homework questions are due by the end of the week (Sunday, June 18). All work should be shown and the assignment should be scanned and uploaded into the correct assignment tab in the blackboard site for the course. 1. In the textbook, section 5.1, Page 243, #17-36 ALL You must draw a picture including the shaded region which you are finding the probably for each problem (number 17-22 already has the picture drawn for you) 2. You are taking a multiple choice test consisting of 40 questions. Each question has 4 possible answers. What is the probability you pass the test (60% is passing) if you randomly guess the answer to every question? 3. An engine part is designed to have a diameter of 55 millimeters. It is known that the manufactured diameters are normally distributed with a standard deviation of 0.01 millimeter. What is the probability that a part chosen at random would have a diameter: (a) less than 54.985 millimeters and (b) between 54.995 and 55.005 millimeters? 4. The heights of women in college is normally distributed with a mean of 65 inches and a standard deviation of 2.5 inches (based on information from the Statistical Abstract of the United States, 112th edition). a. What is the probability a women is taller than 68 inches? b. Would it be unusual for a woman to be shorter than 58 inches? Support your