(Solved): Tree heights: Cherry trees in a certain orchard have heights that are normally distributed with mea ...

Tree heights: Cherry trees in a certain orchard have heights that are normally distributed with mean \( \mu=109 \) inches and standard deviation \( \sigma=13 \) inches. Use the TI-84 PLUS calculator to answer the following. Round the answers to at least two decimals. (a) Find the \( 24^{\text {th }} \) percentile of the tree heights. (b) Find the \( 80^{\text {th }} \) percentile of the tree heights. (c) Find the second quartile of the tree heights. (d) An agricultural scientist wants to study the tallest \( 1 \% \) of the trees to determine whether they have a certain gene that allows them to grow taller. To do this, she needs to study all the trees above a certain height. What height is this? Part: \( 0 / 4 \) Part 1 of 4 Find the \( 24^{\text {th }} \) percentile of the tree heights. The \( 24^{\text {th }} \) percentile of tree heights is inches.