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statistics

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John drives to work each morning and the trip takes an average of  = 38 minutes. The distribution of driving times is approximately normal with a standard deviation of  = 5 minutes. For a randomly selected morning, what is the probability that John's drive to work will take between 36 and 40 minutes?

  • statistics - ,

    Use z-scores.
    Find two z-scores using this formula:
    z = (x - mean)/sd

    Mean = 38
    Sd = 5

    Use 36 for x to determine first z-score.
    Use 40 for x to determine second z-score.

    Once you have both z-scores, check a z-table for the probability between the two scores.

    I hope this will help get you started.

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