1. A variable, X, has a normal distribution with mean, , of 150 and standard deviation, , of 25. Use the definition above to find the z-scores for the following scores. Round answers to 2 decimal places X.XX a) x = 150 b) 137 c) 165 a) z = b) z = c) z = 2. Read pages 271 - 272 and answer the questions that follows. Round Answers to 2 decimal places. X.XX The total area under the following standard normal curve is divided into eight regions. Read pages 271 - 272 and answer the questions that follows. Round Answers to 2 decimal places. X.XX The total area under the following standard normal curve is divided into eight regions. Find the area of each of the regions, starting with the area to the left of -3, then more across, left to right, stating the area of each region. Area to the left of -3 is __ % Area between -3 and -2 is __ % Area between -2 and -1 is __ % Area between -1 and 0 is __% Area between 0 and 1 is __% Area between 1 and 2 is __ % Area between 2 and 3 is __ % Area to the right of 3 is __ % 3. he A. C. Nielsen Company reported in the Nielsen Report on Television that the mean weekly television viewing time for children aged 2-6 years is 24.85 hours. Assume that the weekly television viewing times of such children are normally distributed with a standard deviation of 6.23 hours and apply the empirical rule to fill in the blanks. Round Answers to 2 decimal places. X.XX a. Approximately 68% of all such children watch between and hours of TV per week. b. Approximately 95% of all such children watch between and hours of TV per week. c. Approximately 99.7% of all such children watch between and hours of TV per week. 4. Law Enforcement: Police Response Time Police response time to an emergency call is the difference between the time the call is first received by the dispatcher and the time a patrol car radios that it has arrived at the scene (based on information from The Denver Post). Over a long period of time, it has been determined that the police response time has a normal distribution with a mean of 8.4 minutes and a standard deviation of 1.7 minutes. For a randomly received emergency call, what is the probability that the response time will be (ROUND ANSWERS TO 4 DECIMAL PLACES X.XXXX) (a) exactly 5 minutes? (b) less than 5 minutes? (c) more than 10 minutes? (d) between 5 and 10 minutes? (e) either less than 5 or more than 10 minutes