. What is the probability that a sunflower plant will have a based diameter of more than 40 mm? b. If two sunflower plants are randomly selected, what is the probability that both will have a basal diameter of more than 40 mm? c. What diameter represents the 90th percentile of the distribution of diameters?
. What is the probability that a sunflower plant will have a based diameter of more than 40 mm? b. If two sunflower plants are randomly selected, what is the probability that both will have a basal diameter of more than 40 mm? c. What diameter represents the 90th percentile of the distribution of diameters?
. What is the probability that a sunflower plant will have a based diameter of more than 40 mm? b. If two sunflower plants are randomly selected, what is the probability that both will have a basal diameter of more than 40 mm? c. What diameter represents the 90th percentile of the distribution of diameters?
4. Sunflowers: An experiment publishing in the Annals of Botany investigated whether the stem diameters 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 unsupported stem diameters at the base of a particular species of sunflower plant have a normal distribution with an average diameter of 35 millimeters and a standard deviation of 3 mm. a. What is the probability that a sunflower plant will have a based diameter of more than 40 mm? b. If two sunflower plants are randomly selected, what is the probability that both will have a basal diameter of more than 40 mm? c. What diameter represents the 90th percentile of the distribution of diameters?
Transcribed Image Text:4. Sunflowers: An experiment publishing in the Annals of Botany investigated whether the stem diameters 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 unsupported stem diameters at the base of a particular species of
sunflower plant have a normal distribution with an average diameter of 35 millimeters and a standard
deviation of 3 mm.
a. What is the probability that a sunflower plant will have a based diameter of more than 40 mm?
b. If two sunflower plants are randomly selected, what is the probability that both will have a basal diameter
of more than 40 mm?
c. What diameter represents the 90" percentile of the distribution of diameters?
Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.
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