Terri Vogel, an amateur motorcycle racer, averages 129.72 seconds per 2.5 mile lap (in a 7 lap race) with a standard deviation of 2.25 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 130 and 131.89 seconds. c. The fastest 2% of laps are under seconds.

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Terri Vogel, an amateur motorcycle racer, averages
129.72 seconds per 2.5 mile lap (in a 7 lap race) with
a standard deviation of 2.25 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 130 and 131.89 seconds.
c. The fastest 2% of laps are under
seconds.
Transcribed Image Text:Terri Vogel, an amateur motorcycle racer, averages 129.72 seconds per 2.5 mile lap (in a 7 lap race) with a standard deviation of 2.25 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 130 and 131.89 seconds. c. The fastest 2% of laps are under seconds.
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