A 13-19. What is the expectation of the number of failures proceeding the first success in aninite series of independent trials with constant probability p of success in each trial ?

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Answered: SeA 13-19. What is the expectation of…

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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According to a recent study, 21% of patients who had been hospitalized for an acute myocardial infarction did not fill their cardiac medication by the seventh day of being discharged. Suppose there are twelve people who have been hospitalized for an acute myocardial infarction. (a) What are the number of trials n and the probability of "success" p in this case? n = 12✔ O , P = 0.21 0 Use technology to determine the following probabilities, rounding each to 4 decimal places. (b) Probability that all filled their cardiac medication. Answer = 0.0033 x (c) Six did not fill their cardiac medication. Answer = 0.2604 X (d) At most five did not fill their cardiac medication. Answer = 0.7546 x (e) None filled their cardiac medication. Answer = 0.000000 (f) At least five did not fill their cardiac medication. Answer = 0.4096 X (g) Suppose that five patients out of 12 who were discharged did not fill their medications. Is this unusual? Probability= 0.1868 X Because this probability is greater…
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In the Introduction to Impossibility module, 4/5 of students pass the exam. Of those who pass the exam 9/10 attend lectures, and of those who fail only 1/2 attend lectures. What is the probability that a student who doesn’t attend lectures passes the exam?
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A company gives each worker a cash bonus every Friday, randomly giving a worker an amount with these probabilities: $10 0.9, $50 0.1. Over many weeks, what is a worker's expected weekly bonus? (10 + 50) / 2 = $30 10×0.9 + 50×0.1 = $14 (10×0.9 + 50×0.1) / 2 = $7 (10 + 50) / 10 = $6 Question 11

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SeA 13-19. What is the expectation of the number of failures proceeding the first success in a finite series of independent trials with constant probability p of success in each trial ?