Question: While on community quarantine, joining organized fun runs is an activity that many of us miss. The average finishing time in the 5km category is

While on community quarantine, joining organized fun runs is an activity that many of us miss. The average finishing time in the 5km category is 33.75 minutes. Suppose that finishing time in the 5km category is normal with a standard deviation of 6 minutes.

1. What proportion of runners had a time that is 35 minutes or better? Note: a better time means shorter time.

2. What proportion of runners ran between 33 and 34 minutes?

3. What proportion of mean running time of 36 runners are between 33 and 34 minutes?

4. If a person belongs to the top 10% of runners, at most how long was the person's running time?

5. What is the range of the middle 95% of running times?

6. What is the range of the middle 95% of running times of 36 runners?

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