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The time a group of high school students arrive home from school each day was found to be normally distributed. The mean time was 3:15pm and the times had a standard deviation of 15 minutes. What is the probability that a student chosen at random arrives home from school before 2:30pm?

  • Algebra -


  • Algebra -

    Caculate Z score for this time.

    Z = (x - μ)/SD

    x =2:30, μ = 3:15, SD = 15

    Look up the Z score in the back of your statistics text on a table of areas under the normal distribution to get your probability.

    I hope this helps. Thanks for asking.

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