8. Entomological engineers are continually searching for new biological agents tocontrol one of the world's worst aquatic weeds, the water hyacinth. An insect thatnaturally feeds on water hyacinth is the delphacid. Female delphacids lay anywherefrom one to four eggs onto a water hyacinth blade. The Annals of the EntomologicalSociety of America (Jan. 2005) published a study of the life cycle of a South Americandelphacid species. The accompanying table gives the percentages of water hyacinthblades that have one, two, three, and four delphacid eggs.One EggTwo EggThree EggFour EggPercentage ofBlades405424Source: Sosa, A. J., et al. “Life history of Megamelus scutellaris with description of immature stages,"Annals of the Entomological Society of America, 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, thenumber of delphacid eggs on the blade, is observed. Give the probabilitydistribution of Y.b) What is the probability that the blade has at least three delphacid eggs?

Given that Y denotes the number of delphacid eggs on the blade, then the possible values of Y are…

Answered: a) One of the water hyacinth blades in…

A First Course in Probability (10th Edition)

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Chapter1: Combinatorial Analysis

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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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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?