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3 January, 07:27

The length of a text messaging conversation is normally distributed with a mean of 2 minutes and a standard deviation of. 5 minutes. What is the probability that a conversation lasts longer than 3 minutes?

0.043351

0.063748

0.02275

0.095424

+3
Answers (1)
  1. 3 January, 08:29
    0
    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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