9.1) Comprised of 91 genera and over 1,000 species, the bamboo plant is the fastest growing...

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9.1) Comprised of 91 genera and over 1,000 species, the bamboo plant is the fastest growing woody plant in the world. Some species can grow up to 91-122 cm in a single day. That is up to four feet a day! (see Wikipedia: https://en.wikipedia.org/wiki/List_of bamboo species) Given that a particular bamboo forest has a mean stalk length that is normally distributed with of mean length of 58 feet and a standard deviation of o=9.9 feet, determine the probabilities of the following events. For all problems use the closest second decimal Z-table entry to represent all Z-score values and report on probabilities based on Z-tables with accuracy to the fourth decimal. Let Y= The length of a randomly drawn bamboo plant in feet. 9.1b) What is the probability that 64 randomly drawn bamboo plants from the forest will have a mean stalk length between 56 and 59 feet (inclusive)? Direct translation: P(56 Y59) Z-score substitutions and probability: P( 25 1 Look: 2nd decimal Z-scores 9.1c) What is the probability that many samples of 64 randomly drawn bamboo plants from the forest, each with their own sample mean, will also have a mean staik length between 56 and 50 feet (inclusive)? Direct translation: P(56 y 50) Z-score substitutions and probability: P( 25 1 Look: 2nd decimal Z-scores t 9.1) Comprised of 91 genera and over 1,000 species, the bamboo plant is the fastest growing woody plant in the world. Some species can grow up to 91-122 cm in a single day. That is up to four feet a day! (see Wikipedia: https://en.wikipedia.org/wiki/List_of bamboo species) Given that a particular bamboo forest has a mean stalk length that is normally distributed with of mean length of 58 feet and a standard deviation of o=9.9 feet, determine the probabilities of the following events. For all problems use the closest second decimal Z-table entry to represent all Z-score values and report on probabilities based on Z-tables with accuracy to the fourth decimal. Let Y= The length of a randomly drawn bamboo plant in feet. 9.1b) What is the probability that 64 randomly drawn bamboo plants from the forest will have a mean stalk length between 56 and 59 feet (inclusive)? Direct translation: P(56 Y59) Z-score substitutions and probability: P( 25 1 Look: 2nd decimal Z-scores 9.1c) What is the probability that many samples of 64 randomly drawn bamboo plants from the forest, each with their own sample mean, will also have a mean staik length between 56 and 50 feet (inclusive)? Direct translation: P(56 y 50) Z-score substitutions and probability: P( 25 1 Look: 2nd decimal Z-scores t