Question 1178937
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.