Terri Vogel, an amateur motorcycle racer, averages 129.68 seconds per 2.5 mile lap (in a / lap race) with a standard deviation of 2.27 seconds. The distribution of her race times is normally distributed. We are interested in one of her randomly selected laps. (Source: log book of Terri Vogel) Let X be the number of seconds for a randomly selected lap. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X~ N( b. Find the proportion of her laps that are completed between 127.01 and 129.23 seconds. c. The fastest 3% of laps are under seconds.

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Terri Vogel, an amateur motorcycle racer, averages 129.68 seconds per 2.5 mile lap (in a 7 lap race) with a
standard deviation of 2.27 seconds. The distribution of her race times is normally distributed. We are
interested in one of her randomly selected laps. (Source: log book of Terri Vogel) Let X be the number of
seconds for a randomly selected lap. Round all answers to 4 decimal places where possible.
a. What is the distribution of X? X - N(
b. Find the proportion of her laps that are completed between 127.01 and 129.23 seconds.
c. The fastest 3% of laps are under
d. The middle 50% of her laps are from
seconds.
seconds to
seconds.
Transcribed Image Text:Terri Vogel, an amateur motorcycle racer, averages 129.68 seconds per 2.5 mile lap (in a 7 lap race) with a standard deviation of 2.27 seconds. The distribution of her race times is normally distributed. We are interested in one of her randomly selected laps. (Source: log book of Terri Vogel) Let X be the number of seconds for a randomly selected lap. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( b. Find the proportion of her laps that are completed between 127.01 and 129.23 seconds. c. The fastest 3% of laps are under d. The middle 50% of her laps are from seconds. seconds to seconds.
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