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6 May, 01:48

The length of a text messaging conversation is normally distributed with a mean of 10 minutes and a standard deviation of 4 minutes. What is the probability that a conversation lasts longer than 20 minutes?

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  1. 6 May, 01:56
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    The standard of deviation is 4.

    The mean is 10

    20 minutes - 10 (the mean) = 10 minutes longer than the mean.

    10 minutes longer / 4 minutes (deviation) = 2.5 standard deviations.

    2.5 on the Z-table = 0.9938

    The probability of being more than 20 minutes = 1 - 0.9938 = 0.0062 (0.62%)
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