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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?

what formula would i use to solve for this?

  • Algebra - ,

    Z score = (x-μ)/SD, where x is the individual score, μ = mean, and SD = standard deviation.

    Once the Z score is obtained, look it up in a table in the back of your statistics text called something like "areas under the normal distribution" to get the probability.

    I hope this helps. Thanks for asking.

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