research focused on the number of illnesses involving the organism Escherichia coli (01257:H7), which causes a breakdown of red blood cells and intestinal hemorrhage in its victims. According to the Center for Disease Control of the Department of Health, an estimated 73,000 cases of E. coli infection and 61 deaths occur in Region Y. A 2028 outbreak traced to wild pigs, who spread the bacteria into a cabbage field in that , sickened 204 people in 26 municipalities. Outbreaks have occurred at a rate of 2.5 per 100,000. Let us suppose that this rate has not changed. a. What is the probability that at most five cases of E.coli per 100,000 are reported in California this year? b. What is the probability that more than five cases of E. coli are reported in California this year? c. Approximately 95% of occurrences of E. coli involve at most how many cases?

research focused on the number of illnesses involving the organism Escherichia coli (01257:H7), which causes a breakdown of red blood cells and intestinal hemorrhage in its victims. According to the Center for Disease Control of the Department of Health, an estimated 73,000 cases of E. coli infection and 61 deaths occur in Region Y. A 2028 outbreak traced to wild pigs, who spread the bacteria into a cabbage field in that , sickened 204 people in 26 municipalities. Outbreaks have occurred at a rate of 2.5 per 100,000. Let us suppose that this rate has not changed. a. What is the probability that at most five cases of E.coli per 100,000 are reported in California this year? b. What is the probability that more than five cases of E. coli are reported in California this year? c. Approximately 95% of occurrences of E. coli involve at most how many cases?

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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A study was conducted that investigated the gene ACTN3, which encodes a protein that functions in fast-twitch muscle fibres. People can be classified according to which genotype of this gene they have, RR, RX or XX. The study included a sample of elite sprinters and a sample of endurance athletes. The researchers are investigating whether there is an association between the genotype classification and the type of athlete (sprinters or endurance). Observed counts XX RX RR Total Endurance 55 49 30 134 Sprinters 49 95 50 194 Total 104 144 80 328 The observed test statistic was 9.38 (2dp) and the associated p-value was 0.009192 (6dp). Make a decision and conclusion for this hypothesis test in context. Use a significance level of 1% (α = 0.01).
A group of toxicologists investigated the impact of exposure to low oxygen on the mortality of rice weevils. In an experiment, 31,386 of 31,421 rice weevils were found dead after exposure to nitrogen gas for 4 days. In a second experiment, 23,516 of 23,676 rice weevils were found dead after exposure to nitrogen gas for 3.5 days. Conduct a test of hypothesis to compare the mortality rates of adult rice weevils exposed to nitrogen at the two exposure times. Is there a significant difference (at a = 0.10) in the mortality rates? Give the null and alternative hypotheses. Let p, represent the proportion of rice weevils found dead in the first experiment and p, represent the proportion of rice weevils found dead in the second experiment. Choose the correct answer below. O A. Ho: (P1 - P2) #0 Ha: (P1 - P2) = 0 O C. Họ: (P1 - P2) 0 H3: (P1 - P2) = 0 OF. Ho: (P1 - P2) =0 H: (P1 - P2) >0 Find the test statistic. The test statistic is z=. (Round to two decimal places as needed.)
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A crop researcher investigated the phenotypes that resulted from crossing two different types of cucumber plants. There are 4 possible resulting phenotypes (numbered 1, 2, 3, 4 in the data table below). Mendel's laws of genetic inheritance ('the model') suggest that the proportions should be 9/16, 3/16, 3/16 and 1/16 for phenotypes 1, 2, 3, 4 respectively. The classification of a sample of 1400 observations is given below together with the proportions suggested by Mendel's laws of inheritance (the model) Give the degrees of freedom that would be used in a test of whether or not the crossing results in a population that follows Mendel's laws of inheritance. Degrees of freedom = The test is carried out at significance level α = 0.05 using the method described in the lecture notes. If the decision is to not reject the null hypothesis, what is the appropriate conclusion for the test? Select the appropriate conclusion from the list below. There is sufficient evidence at α = 0.05 that…
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Copepods are tiny crustaceans that are an essential link in the estuarine food web. Marine scientists designed an experiment to determine whether dietary lipid Diatoms Bacteria Macroalgae 429 292 289 (fat) content is important in the population growth of a copepod. Independent random samples of copepods were placed in containers containing lipid-rich diatoms, bacteria, or leafy macroalgae. There were 12 containers total with four replicates per diet. Five gravid (egg-bearing) females were placed in each container. After 14 days, the number of copepods in each container were as given to the right. At the 5% significance level, do the data provide sufficient evidence to conclude that a difference exists in mean number of copepods among the three different diets? 465 303 311 447 295 495 329 Click here to view page 1 of the F-distribution. Click here to view page 2 of the F-distribution. Click here to view page 3 of the F-distribution. Click here to view page 4 of the F-distribution.…
Beryllium is an extremely lightweight metal that is used in many industries, such as aerospace and electronics. Long-term exposure to beryllium can cause people to become sensitized. Once an individual is sensitized, continued exposure can result in chronic beryllium disease, which involves scarring of the lungs. In a study of the effects of exposure to beryllium, workers were categorized by their duration of exposure (in years) and by their disease status (diseased, sensitized, or normal). The results were as follows: Duration of Exposure <1 1 to <5 ≥5 Diseased 14 13 18 Sensitized 11 20 15 Normal 78 140 209 Test the hypothesis of independence. Use the a=0.10 level of significance and the P-value method with the TI-84 Plus calculator. What do you conclude? State the null and alternate hypotheses.
A study was conducted that investigated the gene ACTN3, which encodes a protein that functions in fast-twitch muscle fibres. People can be classified according to which genotype of this gene they have, RR, RX or XX. The study included a sample of elite sprinters and a sample of endurance athletes. The researchers are investigating whether there is an association between the genotype classification and the type of athlete (sprinters or endurance). Observed counts XX RX RR Total Endurance 55 49 30 134 Sprinters 49 95 50 194 Total 104 144 80 328 What degrees of freedom should be used for this test? Explain in one or two sentences how you calculated your answer.
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