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Let W be the exponentially distributed waiting time in minutes for the next metro train to arrive.
If P (W < 2) = 1/3, compute P ( W >7| W?5).
Solution
Exponential distribution is memoryless, so we have:
P(W > 7 | W > 5) =
P(W > 7-5 | W > 0) =
P(W > 2) =
1 - P(W < 2) =
1 - 1/3 =
2/3

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Let W be the exponentially distributed waiting time in minutes for t.pdf

  • 1. Let W be the exponentially distributed waiting time in minutes for the next metro train to arrive. If P (W < 2) = 1/3, compute P ( W >7| W?5). Solution Exponential distribution is memoryless, so we have: P(W > 7 | W > 5) = P(W > 7-5 | W > 0) = P(W > 2) = 1 - P(W < 2) = 1 - 1/3 = 2/3