I need only by Hand solution in the order to get positive feedbackI need answers with accuracy 3. A very large number of Aedes mosquito larvae are on the surface of a river, scattered randomly so thatthe number of larvae is, on average, 3 per square cm. For a study of the spread of the Zika virus, asmall circular net of radius 1 cm is placed in the water and the larvae in that area collected.1 cmGFigure 1: The net used for collecting mosquito larvae(a) Find the probability that more than 5 larvae are collected in the net.(b) When 10 nets are used, what is the probability that exactly eight of the nets have more than 5larvae.(c) Let T be the total number of larvae in four nets. What is the distribution of T?(d) Examine the assumptions leading to the Poisson Process and indicate which may not hold in thiscase, explaining why.

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A very large number of Aedes mosquito larvae are on the surface of a river, scattered randomly so that the number of larvae is, on average, 3 per square cm. For a study of the spread of the Zika virus, a small circular net of radius 1 cm is placed in the water and the larvae in that area collected. G 1 cm Figure 1: The net used for collecting mosquito larvae (a) Find the probability that more than 5 larvae are collected in the net. (b) When 10 nets are used, what is the probability that exactly eight of the nets have more than 5 larvae. (c) Let T be the total number of larvae in four nets. What is the distribution of T? (d) Examine the assumptions leading to the Poisson Process and indicate which may not hold in this case, explaining why.

A very large number of Aedes mosquito larvae are on the surface of a river, scattered randomly so that the number of larvae is, on average, 3 per square cm. For a study of the spread of the Zika virus, a small circular net of radius 1 cm is placed in the water and the larvae in that area collected. G 1 cm Figure 1: The net used for collecting mosquito larvae (a) Find the probability that more than 5 larvae are collected in the net. (b) When 10 nets are used, what is the probability that exactly eight of the nets have more than 5 larvae. (c) Let T be the total number of larvae in four nets. What is the distribution of T? (d) Examine the assumptions leading to the Poisson Process and indicate which may not hold in this case, explaining why.

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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