Terri Vogel, an amateur motorcycle racer, averages 129.18 seconds per 2.5 mile lap (in a 7 lap race) with a standard deviation of 2.26 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 125.27 and 127.07 seconds. c. The fastest 3% of laps are under seconds. d. The middle 50% of her laps are from seconds. seconds to
Terri Vogel, an amateur motorcycle racer, averages 129.18 seconds per 2.5 mile lap (in a 7 lap race) with a standard deviation of 2.26 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 125.27 and 127.07 seconds. c. The fastest 3% of laps are under seconds. d. The middle 50% of her laps are from seconds. seconds to
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Transcribed Image Text:Terri Vogel, an amateur motorcycle racer, averages 129.18 seconds per 2.5 mile lap (in a 7 lap race) with a
standard deviation of 2.26 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 125.27 and 127.07 seconds.
c. The fastest 3% of laps are under
seconds.
d. The middle 50% of her laps are from
seconds.
seconds to
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