Question.5646 - Imagine a medium-sized urban hospital emergency room aiming to enhance its understanding of patient flow and testing procedures. The hospital administration is leveraging probability distributions to model different aspects of its operations, such as patient arrivals, diagnostic test completions, and treatment durations. A data-driven approach can help streamline processes, reduce waiting times, and optimize resource allocation. Your task is to analyze the hospital's operations and use geometric and hypergeometric distributions to gain valuable insights into its functioning. Geometric Distribution The hospital is testing the effectiveness of its triage process. If the probability of successfully triaging a patient on the first attempt is 0.7, what is the probability that the third triage attempt will be the first successful one? Please clearly indicate all notations, formulas, and calculation steps in your answer. Hypergeometric Distribution Out of 20 recently arrived patients, 5 have flu. A team randomly selects samples from 4 patients for testing. What is the probability that exactly 2 of these 4 selected samples have flu? Please clearly indicate all notations, formulas, and calculation steps in your answer.
Answer Below:
Geometric distribution Geometric distribution formula is: P (X = x) = (1 – p) (x-1) *p. (GeeksforGeeks, 2024)From the question given: p = 0.7, x = 3Su...
Geometric xxxxxxxxxxxx Geometric xxxxxxxxxxxx formula xx P x x x x- x GeeksforGeeks xxxx the xxxxxxxx given x x xxxxxxxxxxxx these xxxxxx in xxx formula xx get x X x P x P x P x The xxxxxxxxxxx that xxx third xxxxxx attempt xxxx be xxx first xxxxxxxxxx one xx Hypergeometric xxxxxxxxxxxxxxxxxxxxxxxxxx distribution xxxxxxx is x X x m x mxN-mn-xNn xxxxxxxxxxxxx Given x m x x xxxxxxxxxxxx these xxxxxx in xxx formula xx getP x P x - x Now xx have xx calculate xxxx binomial xxxxxxxxxxx The xxxxxxx for xxxx binomial xxxxxxxxxxx is xx a x a-b xxxxx excel x calculated xxx binomial xxxxxxxxxxx for xxxx of xxxx Substituting xxxxx values xx the xxxxxxxxxxxxxx formula xx get xxx probability xxxx exactly xx these xxxxxxxx samples xxxx flu xx References xxxxxxxx B xxxx S xxxxxxxx D xxxxxx B xxxx S xxxxxxx M xxxxxxxxx J xxxxxx L xxx S xxx Taub x Introductory xxxxxxxxxx e xxxxxxxx https xxxxxxxx org xxxxxxx books xxxxxxxxxxxxxxxxxxxxxxxx e xxxxxxxx under x Creative xxxxxxx Attribution xxxxxxxxxxxxx May xxxxxxxxxxxxxx Distribution xxxxxxx GeeksforGeeks xxxxx www xxxxxxxxxxxxx org xxxxx hypergeometric-distribution-formula xxxxxxxxxxxxx May xxxxxxxxx Distribution xxxxxxx Mean xxx Examples xxxxxxxxxxxxx https xxx geeksforgeeks xxx maths xxxxxxxxxxxxxxxxxxxxxxPaying someone to do your statistics assignment has become a practical solution for students managing tight deadlines, academic pressure, and personal responsibilities. Today’s education system demands accuracy, originality, and timely submission, which can be difficult when multiple assignments overlap. Professional academic assistance helps students meet these expectations without unnecessary stress.
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