According to USA Today (March 18, 1997), of 4million workers in the general workforce, 5.8% testedpositive for drugs. Of those testing positive, 22.5%were cocaine users and 54.4% marijuana users.(a) What is the probability that of 10 workers testingpositive, 2 are cocaine users, 5 are marijuana users,and 3 are users of other drugs?(b) What is the probability that of 10 workers testingpositive, all are marijuana users?(c) What is the probability that of 10 workers testingpositive, none is a cocaine user?

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Answered: and 3 are users of other drugs?(b) What…

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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3. A study conducted at a large hospital found that 27.8 percent of all patients admitted to the hospital's ICU remained in the ICU for less than 24 hours. (A) If 8 patients are selected at random from the ICU patients at the hospital, what is the probability that 2 or fewer of them remained in the ICU for less than 24 hours? (B) Suppose that 20 patients are selected at random from the ICU patients at the hospital. Calculate the mean and standard deviation of the number of these patients who remained in the ICU for less than 24 hours. (C) Another result of the study was that for elective (non-emergency) admissions to the hospital's ICU, the length of the stay in the ICU had a mean of 18.9 hours and a standard deviation of 3.9 hours. Assuming that the length of stay in the ICU for elective admissions is normally distributed, what proportion of elective admissions remained in the ICU for less than 24 hours?
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and 3 are users of other drugs?(b) What is the probability that of 10 workers testing positive, all are marijuana users?(c) What is the probability that of 10 workers testing positive, none is a cocaine user?