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MATHS PASTPAPER

# MATHS PASTPAPER - Hang Seng Management College Department...

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Hang Seng Management College Department of Mathematics and Statistics STA 101 Introduction to Statistics Test 2 (2009-2010) (Total mark: 45) 1. Suppose P(A) = 0.2, P(B) = 0.6, and 2 . 0 ) | ( = B A P . (a) Find ) ( B A P . (b) Draw a Venn diagram to illustrate P(A), P(B) and ) ( B A P . (c) Find ) ( B A P . (d) Find ) | ( A B P . (e) Are A and B mutually exclusive? Explain using probabilities. (12 marks) 2. A box contains four red and three blue poker chips. What is the probability when three are selected randomly that exactly two will be red if we select each chip (a) with replacement? (b) without replacement? (5 marks) 3. A statistics professor classifies his students according to their grade point average (GPA) and their gender. The accompanying table gives the proportion of students falling into the various categories. One student is selected at random. GPA Gender Under 2.0 2.0 – 3.0 Over 3.0 Male 0.05 0.25 0.10 Female 0.10 0.30 0.20 (a) What is the probability that the GPA is over 3.0? (b) If the GPA of the student selected is over 3.0, what is the probability that the student is male?

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MATHS PASTPAPER - Hang Seng Management College Department...

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