2013 - STA1000S Handin tutorial week 5 answers

A b c d e discrete continuous discrete continuous

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Unformatted text preview: e. a) b) c) d) e) Discrete Continuous Discrete Continuous Continuous 2. 3. a) 1 2 3 4 b) Probability mass function 0.5 p(x) 0.4 0.3 0.2 0.1 0 1 2 3 X, as defined c) 4. a) b) c) d) p.m.f. p.m.f. Not a p.m.f. as the sum of the probabilities exceed 1 ∑ Not a p.m.f. as 1 4 5. a) b) ∑ 6. a) Not a p.d.f., since b) Not a p.d.f., since c) p.d.f. d) p.d.f. 7. Find in each of the following such that they are valid p .d.f.s: a) is a valid p.d.f. if ∫ b) 8. for all √ for all √ is a valid p.d.f. if ∫ √ Machine A: { ∫ [ Machine B: { ∫ [ Machine A would be preferred as it produces the greater proportion washers within specification. 2...
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