Controlling water hyacinth. Entomological engineers are continually searching for new biological agents to control one of the world's worst aquatic weeds, the water hyacinth. An insect that naturally feeds on water hyacinth is the del- phacid. Female delphacids lay anywhere from one to four eggs onto a water hyacinth blade. The Annals of the Entomo- logical Society of America (Jan. 2005) published a study of the life cycle of a South American delphacid species. The ac- companying table gives the percentages of water hyacinth blades that have one, two, three, and four delphacid eggs. One Egg Two Eggs Three Eggs Four Eggs Percentage of Blades 40 54 2 4 Source: Sosa, A. J., et al. "Life history of Megamelus scutellaris with lescription of immature stages," Annals of the Entomological Society of \merica, Vol. 98, No. 1, Jan. 2005 (adapted from Table 1). a. One of the water hyacinth blades in the study is randomly selected and Y, the number of delphacid eggs on the blade, is observed. Give the probability distribution of Y. b. What is the probability that the blade has at least three delphacid eggs?
Controlling water hyacinth. Entomological engineers are continually searching for new biological agents to control one of the world's worst aquatic weeds, the water hyacinth. An insect that naturally feeds on water hyacinth is the del- phacid. Female delphacids lay anywhere from one to four eggs onto a water hyacinth blade. The Annals of the Entomo- logical Society of America (Jan. 2005) published a study of the life cycle of a South American delphacid species. The ac- companying table gives the percentages of water hyacinth blades that have one, two, three, and four delphacid eggs. One Egg Two Eggs Three Eggs Four Eggs Percentage of Blades 40 54 2 4 Source: Sosa, A. J., et al. "Life history of Megamelus scutellaris with lescription of immature stages," Annals of the Entomological Society of \merica, Vol. 98, No. 1, Jan. 2005 (adapted from Table 1). a. One of the water hyacinth blades in the study is randomly selected and Y, the number of delphacid eggs on the blade, is observed. Give the probability distribution of Y. b. What is the probability that the blade has at least three delphacid eggs?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 27PPS
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