Derive an expres- sion involving p for the probability that


Suppose identical tags are placed on both the left ear and the right ear of a fox. The fox is then let loose for a period of time. Consider the two events C1 = {left ear tag is lost} and C2 = {right ear tag is lost}. Let p = P(C1) = P(C2), and assume C1 and C2 are independent events. Derive an expres- sion (involving p) for the probability that exactly one tag is lost given that at most one is lost ( Ear Tag Loss in Red Foxes, J. Wildlife Manag., 1976: 164-167). (Hint: Draw a tree diagram in which the two initial branches refer to whether the left ear tag was lost.)

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Basic Statistics: Derive an expres- sion involving p for the probability that
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