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26 January, 17:13

The length of a text messaging conversation is normally distributed with a mean of 2 minutes and a standard deviation of 0.5 minutes. What is the probability that a conversation lasts longer than 3 minutes?

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  1. 26 January, 17:18
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    Let x be a random variable representing the length of a text messaging conversation, then

    P (x > 3) = 1 - P (x < 3) = 1 - P (z < (3 - 2) / 0.5) = 1 - P (z < 2) = 1 - 0.97725 = 0.02275
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