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2. The probability that a phone call will last more than t minutes is (1+t)-2. Given that a
particular phone call has not ended in two minutes, what is the probability it will last more than
three minutes?
Solution
Here,
P(T>t) = (1+t)^-2
Thus,
P(t>3|t>2) = P(t>3) / P(t>2)
= [(1+3)^-2]/[(1+2)^-2]
= 9/16 or 0.5625 [ANSWER]

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2. The probability that a phone call will last more than t minutes i.pdf

  • 1. 2. The probability that a phone call will last more than t minutes is (1+t)-2. Given that a particular phone call has not ended in two minutes, what is the probability it will last more than three minutes? Solution Here, P(T>t) = (1+t)^-2 Thus, P(t>3|t>2) = P(t>3) / P(t>2) = [(1+3)^-2]/[(1+2)^-2] = 9/16 or 0.5625 [ANSWER]