In a forest, it is known that the circumference of 10 year old oak trees when measured three feet above the ground is 20 inches with a standard deviation of 4.5 inches. It is also known that these circumferences follow a bell-shaped distribution. If a random sample of 200 ten year old oak trees is selected, approximately how many would have girths greater than 29 inches?
2026-03-31 22:22:14.1774995734
Standard deviation / Bell Shaped Distribution
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Hint: Have you tried using the 68/95/99.7 rule? 9 inches greater than the mean is 2 standard deviations.
The question is asking for the area to the right of $2 \sigma$. Since the interval within $2\sigma$ from the mean is 95%, the left and right combined is 5%, so the area only to the right is 2.5%.