Let us suppose that some article modeled the disease progression in sepsis (a systemic inflammatory response syndrome (SIRS)together with a documented infection). Both sepsis, severe sepsis and septic shock may be life-threatening. The researchers estimatethe probability of sepsis to worsen to severe sepsis or septic shock after three days to be 0.11. Suppose that you are physician in anintensive care unit of a major hospital, and you diagnose four patients with sepsis.(a) What is the probability that none of the patients with sepsis gets worse in the next three days?Round your answer to five decimal places (e.g. 98.76543).P = i(b) What is the probability that all of the patients with sepsis get worse in the next three days?Round your answer to five decimal places (e.g. 98.76543).P = i(c) What is the probability that at most two patients with sepsis get worse in the next three days?Round your answer to five decimal places (e.g. 98.76543).P = i

Answered: Image /qna-images/answer/eb2c0b9f-ca45-4600-b3f9-cb5c59fb3742.jpg

Answered: Let us suppose that some article…

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 risky eye surgery for patients in danger of permanent blindness is known to historically cure the condition in 35% of all cases of performing the surgical procedure. A new procedure is proposed for which the researchers claim that they will improve that rate of cure. -If the researchers made a mistake, what TYPE of mistake did they make (type I or type II?) Name the error, and in a sentence or two, describe a possible consequence of that error.
Last year, the average math SAT score for students at one school was 475. The headmaster introduced new teaching methods hoping to improve scores. This year, the mean SAT score for a sample of students was 481. Is there statistically significant evidence that the new teaching method is effective? If the teaching method had no effect, there would be roughly a 3 in 10 chance of seeing such an increase. Does the result have statistical significance? Why or why not? Does the result have practical significance?
Question 9?
You run a house flipping business where you buy thousands of houses across the country, hire contractors to fix them up, and try to sell them. For any given house, you figure there is a 50%/50% chance of gaining 60% or losing 40%. This means your expected return per house is 0.5x0.60+0.5x(-0.40) = 0.10 = 10%. The variance per house is 0.5x(0.60-0.10)2 + 0.5x(-0.40-0.10)2 = 0.25. If the covariance between houses is 0.10, what is the variance of your portfolio of thousands of houses
.A new, miracle diabetes drug that diminishes major symptoms of diabetes has been approved by the FDA. Health care professionals and researchers believe that the new drug will prolong lifespan of diabetes patients. If the population is in steady state and the incidence is constant, what will the effect of this new drug be on the prevalence of diabetes in the population? Explain.
Depression A study published in the Archives of GeneralPsychiatry examined the impact of depression on apatient’s ability to survive cardiac disease. Researchersidentified 450 people with cardiac disease, evaluatedthem for depression, and followed the group for 4 years.Of the 361 patients with no depression, 67 died. Of the89 patients with minor or major depression, 26 died.Among people who suffer from cardiac disease, aredepressed patients more likely to die than non-depressedones?a) What kind of design was used to collect these data?b) Write appropriate hypotheses.c) Are the assumptions and conditions necessary forinference satisfied?d) Test the hypothesis and state your conclusion.e) Explain in this context what your P-value means.f) If your conclusion is actually incorrect, which type oferror did you commit?
Based on predictive modeling, this upcoming Winter is going to have very unpredictable weather. The National Weather service is considering abolishing specific long-term forecasts, and instead will utilize a statistical model that predicts a mean of six significant snowfalls per month. Use this information to answer the following question correctly: Trying to be forward-thinking, I'm going to try planning my one month long Winter Break based around this model's predictions. I will only travel for the holidays if there is at most one significant snowfall over winter break. What is the probability of this happening? O 0.0174 O 0.0149 O 0.0025 O 0.0542
We will solve this problem with Excel Using BINOMDIST. Suppose that 48% of individuals 85 years and older have Alzheimer’s Disease. You go to a nursing home that has been feeding residents a diet consisting of natural, organic, and healthy foods including free range chickens, omega 3 eggs, flax seed, etc. You find that only 29 of 100 residents who are 85-years and older have Alzheimer’s disease? What is the likelihood of this outcome?
You are conducting a study to see if the proportion of voters who prefer the Democratic candidate is significantly larger than 50% at a level of significance of a = 0.10. According to your sample, 49 out of 92 potential voters prefer the Democratic candidate.
Please read the passage on Antibiotics in Infancy and then answer the questions carefully to get the correct answers.
What does rare outcomes signifies?
Benford's Law claims that numbers chosen from very large data files tend to have "1" as the first nonzero digit disproportionately often. In fact, research has shown that if you randomly draw a number from a very large data file, the probability of getting a number with "1" as the leading digit is about 0.301. Suppose you are an auditor for a very large corporation. The revenue report involves millions of numbers in a large computer file. Let us say you took a random sample of n = 250 numerical entries from the file and r = 60 of the entries had a first nonzero digit of 1. Let p represent the population proportion of all numbers in the corporate file that have a first nonzero digit of 1. Test the claim that p is less than 0.301 by using α = 0.01. What does the area of the sampling distribution corresponding to your P-value look like? a. The area in the right tail of the standard normal curve. b. The area not including the right tail of the standard normal curve.…

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