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Terri Vogel, an amateur motorcycle racer, averages 129.71 seconds per 2.5 mile lap (in a seven-lap...

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Basic Math

Terri Vogel, an amateur motorcycle racer, averages 129.71seconds per 2.5 mile lap (in a seven-lap race) with a standarddeviation of 2.28 seconds. The distribution of her race times isnormally distributed. We are interested in one of her randomlyselected laps.

  • Part (a)

    In words, define the random variable X.

    the time (in seconds) per lapthe time (in seconds) perrace    the distance (in miles) of each racethedistance (in miles) of each lap

  • Part (b)

    Give the distribution of X.
    X ~

  • Part (c)

    Find the percent of her laps that are completed in less than 135seconds. (Round your answer to two decimal places.)

  • Part (d)

    The fastest 2% of her laps are under how many seconds? (Roundyour answer to two decimal places.)
    sec

  • Part (e)

    Enter your answers to two decimal places.

    The middle 80% of her lap times are from  secondsto  seconds.

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