el, an amateur motorcycle racer, averages 129.76 seconds per 2.5-mile lap (in a 7 lap race) with a standard deviation of 2.28 seconds. The distribution of her race times is normally distributed. We are interested in one of her randomly selected laps. (Source: logbook 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
Terri Vogel, an amateur motorcycle racer, averages 129.76 seconds per 2.5-mile lap (in a 7 lap race) with a standard deviation of 2.28 seconds. The distribution of her race times is
a. What is the distribution of X? X ~ N(,)
b. Find the proportion of her laps that are completed between 126.07 and 128.35 seconds.
c. The fastest 2% of laps are under seconds.
d. The middle 70% of her laps are from seconds to seconds.
Note:
As per the guidelines, we are only allowed to solve three subparts, please post the other questions as a different question.
The mean and standard deviation of the sampling distribution of the sample mean is equal to μ
and respectively. For this case, the mean will be 129.76 and the standard deviation will be .
a. Hence, the distribution of the average cost of gasoline can be written as,
X∼N(129.76, 2.28)
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