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What is the probability that an interaction lasts longer than 4 minutes with a mean of 3 minutes and a standard deviation of 0.4 minutes

What is the probability that an interaction lasts longer than 4 minutes with a mean of 3 minutes and a standard deviation of 0.4 minutes
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What is the probability that an interaction lasts longer than 4 minutes with a mean of 3 minutes and a standard deviation of 0.4 minutes

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User KingPuppy
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1 Answer

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Assuming interaction duration is normally distributed, you have


\mathbb P(X>4)=\mathbb P\left((X-3)/(0.4)>(4-3)/(0.4)\right)=\mathbb P(Z>2.5)\approx0.0062
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User Scott Reynen
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