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Unformatted text preview: 2 2. Suppose that for some experiment, we have three independent events A, B and C. Suppose that: i) P(AUB) = 0.7 ii) P(C|A) = 0.3 iii) P(B|C) = 0.5 Find the probability that exactly one of A, B or C occurs. [5 Marks] 3 3. A veterinarian has been asked to prepare a diet for a group of dogs to be used in a nutrition study. Each serving must not exceed 8 ounces and must contain at least 29 units of nutrient I, and at least 20 units of nutrient II. Two brands of dog food may be used in preparing the diet: brand A and brand B. Each ounce of brand A contains 3 units of nutrient I and 4 units of nutrient II. Each ounce of brand B contains 5 units of nutrient I and 2 units of nutrient II. Brand A costs 3 cents/ounce and brand B costs 4 cents/ounce. Determine how many ounces of each brand of dog food should be used per serving to meet the given requirements at a minimum cost. [15 Marks]...
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This note was uploaded on 01/15/2011 for the course MATH 151 taught by Professor Barone during the Spring '09 term at University of Victoria.
- Spring '09