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Unformatted text preview: f) No the events in parts a and b are not mutually exclusive because it is possible for an offender to have both a gang score of 5 and carry a weapon. g) the events in parts a and c are mutually exclusive because an offender cannot have both a gang score of 5 and a gang score below 3. It is either a gang score of 5 or a gang score of 3. 3.138 A = actual detection. Therefore the probability that the actual defect exists when the NDE detects a hit is 0.9996. <li> 3.150 a) Urn 1 has 1/6 chance of being drawn from. Urn 2 has 5/6 chance of being drawn from. Urn 1 has .4 chance of red ball. Urn 2 has .6 chance of red ball. So (1/6) * .4 = probability of getting red ball from urn 1 = 0.067 (5/6) * .6 = prob. of red ball from urn 2 = 0.5. Total chance of getting red ball = 0.567 b) Given that a red ball was drawn then the chance of urn 1 being drawn is 3.178...
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- Spring '08
- Eye color, red ball, Elisa Chan, gang score