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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Before 1918, approximately 55% of the wolves in a region were male, and 45% were female. However, cattle ranchers in this area have made a determined effort to exterminate wolves. From 1918 to the present, approximately 65% of wolves in the region are male, and 35% are female. Biologists suspect that male wolves are more likely than females to return to an area where the population has been greatly reduced. (Round your answers to three decimal places.)
19. The chance for precipitation (rain) in Washington, DC this weekend is about 40% everyday. (a) What is the probability that it will rain on Friday, Saturday, and Sunday? (b) What is the probability that there won't be any rain day this entire weekend.
6. Historically, a given day at the beginning of March in upstate New York has a 18% chance of snow and a 12% chance of rain. If there is a 4% chance it will rain and snow on a day, then which of the following represents the probability that a day in early March would have either rain or snow? (1) 0.30 (3) 0.02 (2) 0.34 (4) 0.26
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6.) The National Spinal Cord Injury Statistical Center reports that 45% of all spinal cord injuries are caused by vehicle crashes. Suppose that we choose 15 spinal cord injuries at random.a.) What is the probability that 8 of the chosen injuries are from vehicle crashes? (Usethe formula)b.) What is the probability that fewer than 5 of the chosen injuries are from vehiclecrashes? (Use the calculator)c.) What is the probability that more than 9 of the chosen injuries are from vehiclecrashes? (Use the calculator)d.) What is the probability that between 4 and 10 of the chosen injuries are from vehiclecrashes? (Use the calculator)e.) What is the expected number of such injuries to result from vehicle crashes?f.) What is the standard deviation of the number of injuries resulting from vehiclecrashes?
In 2020 Skittles changed the flavor of green from lime to sour apple (big mistake!!). Mr. Phillips takes a small handful of 5 Skittles from a bin of 10,000 Skittles and gets ALL GREEN (terrible)! If 20% of the Skittles are green, what is the probability of this happening?
9. Fungicides are used to protect seeds in wet environments. To test the effectiveness of a fungicide, twenty seeds were planted wherein ten seeds were treated with fungicide and the other ten were not. The seeds were planted in wet soil, and the number of plants that emerge were counted. If the fungicide was not effective, what is the probability that two out of four plants that emerge are from treated seeds? O A. 0 O B. 0.3750 O C. 0.4180 O D. 0.5000
32. A field trip in Bukidnon was organized by an institution as part of their goals to extend community engagement to their pupils. However, a tragic accident happened on their way to their destination. After the rescue operation, the team tallied the number of survivors and missing persons. (a) If we randomly select someone who was a part of the field trip, what is the probability of getting a woman, given that the selected person was rescued? (b) What is the probability of getting a boy or girl, given that the randomly selected person is missing? Men Women Boys Girls Rescued 20 10 7 16 Missing 15 13 10 8.
A true/false test has 15 questions on it. What is the probability that you get at least 13 right by purely guessing?
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?
28. Genders of Children Assume that for any given live human birth, the chances that the child is a boy or a girl are equally likely. (a) What is the probability that in a family of five children a majority are boys? (b) What is the probability that in a family of seven children a majority are girls?
3. The latest data from the CDC indicates that 14% of Americans are smokers. A researcher wants to identify smokers for a survey. He randomly selects people entering a grocery store to ask if they are a smoker. a) What is the probability that he identifies the first smoker on his 5th try? b) What is the probability that he has to approach more than 8 people before finding the first smoker? c) How many people does he expect to approach before finding the first smoker?

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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?