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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 9 or more?
4.What was the probability of selling 11 or less?
(d)There is a cage of 80 unwanted kittens. 36 are female (F) and black (B); 14 are male (M) and black (B); 17 are female and tabby coloured (T); 13 are male and tabby coloured (T).
1.Using Excel construct a table showing gender in the rows and colour in the columns with total of rows and columns. Then paste this Excel table into Word.
2.Now calculate the probability of a kitten being:
(i)Female
(ii)Tabby coloured
(iii) Black given a male
(iv) Tabby coloured given a female
(e) The life of a light bulb is normally distributed with a life of 1025 hours and a standard deviation of 75 hours.
1.What is the probability that the lightbulb will last 930 hours or less?
2.What is the probability that the lightbulb will last 820 hours or less?
3.What is the probability that the lightbulb will last longer than 1040 hours?
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 main source of household income of the Australian population. Type of household income is broken down into employee income, own unincorporated business income and other income.
2.Then using Excel, prepare a table of population numbers (not percentages) by type of household income (in the columns) and age (in the rows). Break age into about 6 standard groups, eg, 15-24, 25-34, 35-44, 45-54, 55-64 and 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:
•The probability that any person selected at random from the population earns employee income.
•The probability that any person selected at random from the population is aged between 15 and 34.
•The joint probability that any person selected at random from the population has own unincorporated business income and aged between 25 and 44.
•The conditional probability that any person selected at random from the population is 35 or under given that the person has employee income.
