SOLUTION: A racer averages 129.25 seconds per 2.5 mile lap( in a 7 lap race) with a standard deviation of 2.27 seconds. normal distribution. let x be the number of seconds for a randomly sel

Question 1178937: A racer averages 129.25 seconds per 2.5 mile lap( in a 7 lap race) with a standard deviation of 2.27 seconds. normal distribution. let x be the number of seconds for a randomly selected lap.
A. what is the distribution of x? x-n (____.____)
B. find the proportion of her laps that are completed between 127.7 and 129.36 seconds. ____________
C. The fastest 3% of her laps are under __________seconds.
D. The middle 40% of her laps are from _______ seconds to ________ seconds.
Answer by CPhill(1959) (Show Source): You can put this solution on YOUR website!
Here are the answers to your questions, based on the provided information:
**A. What is the distribution of x?**
* x ~ N(129.25, 2.27)
* This means x follows a normal distribution with a mean (μ) of 129.25 seconds and a standard deviation (σ) of 2.27 seconds.
**B. Find the proportion of her laps that are completed between 127.7 and 129.36 seconds.**
* 0.2720
* This means that approximately 27.20% of her laps are completed within this time range.
**C. The fastest 3% of her laps are under __________ seconds.**
* 124.98 seconds.
* This means that 3% of her fastest laps are completed in 124.98 seconds or less.
**D. The middle 40% of her laps are from _______ seconds to ________ seconds.**
* 128.06 seconds to 130.44 seconds.
* This indicates that the middle 40% of her lap times fall within this range.

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