Week 2: Graded Homework: The following homework questions are due by the end of the week (Sunday, June 4). 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. The following graph represents weights of a sample of people. a. Describe the distribution of data? b. What do you think is the cause for the graph having this shape? 50 40 30 20 10 0 102.0 127.0 152.0 177.0 202.0 227.0 2. The empirical rules states that: a. ______% of data in a symmetrical distribution will fall within one standard deviation of the mean b. ______% of data in a symmetrical distribution will fall within two standard deviations of the mean c. ______% of data in a symmetrical distribution will fall within three standard deviations of the mean 3. Tail lengths (in feet) for a sample of American Alligators are listed: 6.5 a. b. c. d. e. 3.4 4.2 7.1 5.4 6.8 7.5 3.9 4.6 Find the mean Find standard deviation Find the quartiles Find the standard score (z-score) for the first three data points listed Create a Box and Whisker Plot for the data 1. If the letters in the word: ARREARS are mixed, what is the probability that by arranging the letters randomly in order the word arrears is spelled? 4. A company is hiring three new truck drivers for local deliveries. Local delivery routes are interchangeable and drivers will work all routes. If there were 22 applicants for the positions how many different combinations of applicants can the employer hire