Consider the following scenario: • Let P(C) = 0.4 Let P(D) = 0.5 • Let P( CD) = 0.6 . Part (a) Part (b) Are C and D mutu
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Consider the following scenario: • Let P(C) = 0.4 Let P(D) = 0.5 • Let P( CD) = 0.6 . Part (a) Part (b) Are C and D mutu
Consider the following scenario: • Let P(C) = 0.4 Let P(D) = 0.5 • Let P( CD) = 0.6 . Part (a) Part (b) Are C and D mutually exclusive? Why or why not? There is not enough information to determine if C and D are mutually exclusive. C and D are not mutually exclusive because P(C) + P(D) # 1. C and D are not mutually exclusive because P(C AND D) 0. C and D are mutually exclusive because they have different probabilities. Part (c) Are C and D independent events? Why or why not? The events are independent because they are mutually exclusive. The events are not independent because the sum of the events is less than 1. The events are not independent because P(CID) + P(C). The events are not independent because P(C) XPD) P( CD) Part (d)
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