Question

Question 4: 3 point(s) Symptoms A certain illness has two symptoms associated with it-a fever and fatigue. There is a 90% probability that at least one of the two symptoms occurs for a randomly selected person with the illness. There is an 80% probability that a randomly selected person with the illness will come down with a fever and there is a 50% probability that a randomly selected person with the illness will feel fatigued Note: For simplicity, we will refer to the event of "coming down with a fever" simply as "fever" and the event of "feeling fatigued" simply as "fatigue". You may do the same. Please answer the following three questions: 1) Are the events of "fever" and "fatigue" mutually exclusive (or disjoint)? 2) Are the events of "fever" and "fatigue" complementary? 3) Are the events of "fever" and "fatigue" independent? Clearly number each answer and provide numerical support and/or logical reasoning for each answer.

Answer 1

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