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# ACC544- Decision Support Tools- Statistics Report Writing Assignment

Internal Code: MAS546

## Report Writing Assignment:

Task 1: Question 1: Probability Show all calculations/reasoning. (a) Describe the classical method of determining probability. Give an example. (b) What is the difference between a discrete probability distribution and a continuous probability distribution? Give your own example of each. (c )Consider the following record of sales of lottery tickets for the last 50 days. 1. What was the probability of selling 9 or 10 units on any one day?
2. What were the average daily sales?
3. What was the probability of selling 10 or more?
4. What was the probability of selling 11 or less?
(d) A class contains 40 students. 12 are female (F) and Australian citizens (A); 14 are male (M) and Australian citizens) (A); 10 are female and overseas citizens (OS); 4 are male and overseas citizens (OS). Using Excel construct a table showing gender in the rows and citizenship in the columns with total of rows and columns. Then paste this Excel table into Word. Now calculate the probability of a student being: (i) Male (ii) Overseas student (iii) Australian given a female (iv) Overseas student given a male (e) The time to complete a construction project is normally distributed with a mean of 50 weeks and a standard deviation 10 weeks. 1.What is the probability that the project will be completed in 54 weeks or less? 2.What is the probability that the project will be completed in 62 weeks or less? 3.What is the probability that the project will take longer than 70 weeks? Question 2 Research Question, Constructing data table and calculating probabilities: The following question involves learning/employing research skills in searching out data on the Internet, presenting it in a well constructed and informative table, and calculating some probabilities showing calculation methods. 1.Search the Internet for the latest figures you can find on the age and sex of the Australian population. 2.Then using Excel, prepare a table of population numbers (not percentages) by sex (in the columns) and age (in the rows). Break age into about 5 standard groups, eg, 0-14, 15-24,25-54, 55-64, 65 and over. Insert total of each row and each column. Paste the table into Word as a picture.Give the table a title, and below the table quote the source of the figures. 3.Calculate from the table, showing your calculation methods:
1. The probability that any person selected at random from the population is a male.
2. The probability that any person selected at random from the population is aged between 25 and 54.
3. The joint probability that any person selected at random from the population is a female and aged between 15 and 24.
4. The conditional probability that any person selected at random from the population is 25 or over given that the person is a male.
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