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Rationale
Assignment 2 is designed to:
? demonstrate mastery of the subject material covered in the text, the lectures and the
tutorials for the topics Probability, Probability Distributions, Sampling and Sampling
Distributions;
? detect difficulties with any concepts so the lecturer can provide feedback;
? assess learning objectives 1, 3, 5, 6 and 7.
? build a base for study in the later topics.
Question 1 (24 marks)
Marking Criteria
Marks will be awarded for:
? the correct answers and appropriate detailed working, including the relevant
formula;
? appropriate well labelled diagrams;
a. If ( ) 0.06 P C D ? ? , P(C) = 0.4 and P(D) = 0.2,
i) find ) | ( D C P .
(3 marks)
ii) find ) ( D C P ? .
(3 marks)
b. In a drawer there are 30 ribbons, 16 are blue and the rest are red. Two ribbons are
selected at random from the drawer, without replacement.
i) Draw a probability tree diagram to represent this problem. Label the end of
each branch with the simple events and include the probabilities along each
branch of the tree.
(3 marks)
ii) If two ribbons are drawn at random what is the probability of selecting a pair
of matching ribbons (two ribbons the same colour)?
(2 marks)
c. Given that Z is the standard normal random variable,
i) find ) 36 . 1 ( ? Z P (2 marks)

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