| (a) | Network analysis is a tool to aid in the management and planning of projects. Explain each of the following three network analysis terms and for each draw the symbol which is used in constructing the network diagram: | |
| (i) Activity | [2] | |
| (ii) Event | [2] | |
| (iii) Dummy Activity.
|
[2] | |
| (b) | Two dice are rolled simultaneously. | |
| (i) What is the probability that the sum of the two numbers rolled is eight. | [3] | |
| (ii) Given the number rolled on the
first dice is greater than three, does the probability that the sum of the two numbers
rolled is eight increase or decrease? Explain your answer
|
[3] | |
| (c) | A company manufactures drinks cartons. The
volume, v, of the cartons is normally distributed with mean 1.5 litres and
standard deviation of 0.15 litres. What is the probability that the volume of a carton
will lie between 1.40 litres and 1.65 litres?
|
[4] |
| (d) | A, B and C are sets. Use Venn Diagrams to illustrate the following operations on these sets (shade in the area which gives the result of the operation). | |
(i) A  B C |
[1] | |
(ii) (A  B) C |
[1] | |
| (iii) A' B' C' |
[2] | |