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6.25 Sunflowers An experimenter publishing in the Annals of Botany investigated whether the stem diame- ters of the dicot sunflower would change depending on whether the plant was left to sway freely in the wind or was artificially supported.? Suppose that the unsup- ported stem diameters at the base of a particular species of sunflower plant have a normal distribution with an average diameter of 35 millimeters (mm) and a standard deviation of 3 mm. a. What is the probability that a sunflower plant will have a basal diameter of more than 40 mm? b. If two sunflower plants are randomly selected, what is the probability that both plants will have a basal diameter of more than 40 mm? c. Within what limits would you expect the basal diameters to lie, with probability .95?

6.25 Sunflowers An experimenter publishing in the Annals of Botany investigated whether the stem diame- ters of the dicot sunflower would change depending on whether the plant was left to sway freely in the wind or was artificially supported.? Suppose that the unsup- ported stem diameters at the base of a particular species of sunflower plant have a normal distribution with an average diameter of 35 millimeters (mm) and a standard deviation of 3 mm. a. What is the probability that a sunflower plant will have a basal diameter of more than 40 mm? b. If two sunflower plants are randomly selected, what is the probability that both plants will have a basal diameter of more than 40 mm? c. Within what limits would you expect the basal diameters to lie, with probability .95?

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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6.25 Sunflowers An experimenter publishing in the Annals of Botany investigated whether the stem diame- ters of the dicot sunflower would change depending on whether the plant was left to sway freely in the wind or was artificially supported.? Suppose that the unsup- ported stem diameters at the base of a particular species of sunflower plant have a normal distribution with an average diameter of 35 millimeters (mm) and a standard deviation of 3 mm. a. What is the probability that a sunflower plant will have a basal diameter of more than 40 mm? b. If two sunflower plants are randomly selected, what is the probability that both plants will have a basal diameter of more than 40 mm? c. Within what limits would you expect the basal diameters to lie, with probability .95? d. What diameter represents the 90th percentile of the distribution of diameters?
Transcribed Image Text:6.25 Sunflowers An experimenter publishing in the Annals of Botany investigated whether the stem diame- ters of the dicot sunflower would change depending on whether the plant was left to sway freely in the wind or was artificially supported.? Suppose that the unsup- ported stem diameters at the base of a particular species of sunflower plant have a normal distribution with an average diameter of 35 millimeters (mm) and a standard deviation of 3 mm. a. What is the probability that a sunflower plant will have a basal diameter of more than 40 mm? b. If two sunflower plants are randomly selected, what is the probability that both plants will have a basal diameter of more than 40 mm? c. Within what limits would you expect the basal diameters to lie, with probability .95? d. What diameter represents the 90th percentile of the distribution of diameters?
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