a. Classify each of the following either as nominal, ordinal, continuous or discrete data. i. The nationalities listed in a recent survey [1] ii. The ratings of a movie ranging from \"poor" to "good" to "excellent" [1] iii. Annual family income [1] b. A local Australian bank uses a semi-automated telephone process to take enquiries from its customers. This bank conducted a survey of customers, asking them what problems they had encountered in making reservations. The chart below shows the analysis of the customer responses (BS: Busy Signal; TL= Too Long to Wait; GD = Got Disconnected; WP= Transferred to the Wrong Person). Problems Encountered Making Enquiries by Telephone 450 m 400 350 300 250 200 150 100 50 I Number of complaints BS TL GD WP i. The above chart is commonly used in quality control. What is the name of this chart? [1] ii. How many customers responded \"Too Long to Wait" problem in making reservations? [1] Question 3 (6 marks) Marks a. A recent survey was conducted on a random sample of 100 employed students who enrolled at Western Sydney University. The aim of this study was to examine the relationship between age and employment status (full-time or part-time) of students. The results of this survey are displayed in the table below. Employment Status Age(Years) Part-Time Full -Time Total 17 to 24 20 40 25 and over 25 15 Total Use the table above to answer the questions below. i. If a student aged 17 to 24 years old is selected at random, what is the probability that the student is employed Part-Time? [1] ii. If a student is randomly selected, what is the probability that the student was aged 25 and over and employed Full-Time or the student was aged 17 to 24 years and employed Part-Time? [2] b. The table below shows the probability distribution for the number of traffic accidents per day in a small town. Assume that at most four traffic accidents can occur per day. Number of traffic Probability accidents per day (x) P(x) 0 0.55 1 0.15 2 0.20 3 l 0.10 i. Using the table above, compute the expected number of the number of trafc accidents per day for the above distribution. [1] ii. Using the table above, compute the standard deviation for the above distribution. [2]