Ask Question
29 August, 15:28

The guayule plant, which grows in the southwestern United States and in Mexico, is one of several plants that can be used as a source of rubber. In a large group of guayule plants, the heights of the plants are normally distributed with a mean of 12 inches and a standard deviation of 2 inches. a. What percent of the plants are taller than 16 inches? $/%$ b. What percent of the plants are at most 13 inches? $/%$ c. What percent of the plants are between 7 inches and 14 inches? $/%$ d. What percent of the plants are at least 3 inches taller than or at least 3 inches shorter than the mean height? $/%$

+5
Answers (1)
  1. 29 August, 15:33
    0
    The correct answer to the question for (a) the percentage of the plants which are taller than 16 inches is 2.28 % (b) the percent of the plants are at most 13 inches is 69.15% (c) the percent of the plants that are between 7 inches and 14 inches is 83.51% (d) the percent of the plants that are at least 3 inches taller than or at least 3 inches shorter than the mean height is 1

    Step-by-step explanation:

    Solution

    Recall that

    (a) μ = 12 and б = 2

    Then,

    Z = x - μ/б

    = 16 - 12 / 2 = 2

    thus,

    1-p (z<2) = 1 - 0.9772 = 0.0228

    = 2.28 %

    Therefore the percentage of the plants which are taller than 16 inches is 2.28 %

    (b) Z = 13-12/2

    which is = 0.5

    p (z<0.5) = 0.6915

    =69.15%

    Therefore the percent of the plants are at most 13 inches is 69.15%

    (c) we calculate for the percent of the plants that are between 7 inches and 14 inches

    Now,

    p (7
    p = (-2.5
    which is, = 0.8351

    =83.51%

    (d) What percent of the plants are at least 3 inches taller than or at least 3 inches shorter than the mean height

    Now,

    Z = x - μ/б = 3-12/2 = - 4.5

    Thus,

    p (z>-4.5) = p (z>-4.5)

    = 1
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “The guayule plant, which grows in the southwestern United States and in Mexico, is one of several plants that can be used as a source of ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers