dom Module 4 Part 3: Addition & multiplication rule; contingency tablesExample 4: Screenings for Marijuana UseThe results from a study using the 1-panel-THC test for marijuana use are summarized as follows: Among 143subjects with positive test results, there are 24 false positive results; among 157 negative results, there are 3false negative results. Use this information to answer the following questions.(a) What is the probability that a randomly selected subject did not use marijuana?(b) If one of the test subjects is randomly selected, find the probability that the subject tested positive orused marijuana.gravians 19 ansbne 08 anosmoz er tos143lidedong ort à forW nocz 1 suisson to the albaM(c) If one of the test subjects is randomly selected, find the probability that the test subject testednegative or did not use marijuana.Ad(d) If one of the test subjects is randomly selected, find the probability that the subject actually usedmarijuana.CE(e) Find the probability of a false positive or a false negative. What does the result suggest about thetest's accuracy?(g) How do the results from (e) and (f) relate to each other?(f) Find the probability of a correct result correct result by finding the probability of a true positive ortrue negative.60

Given Information: 143 subjects have positive test results, out of which 24 subjects have false…

Answered: Example 4: Screenings for Marijuana Use…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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In an experiment, college students were given either four quarters or a $1 bill and they could either keep the money or spend it on gum. The results are summarized in the table. Students Given Four Quarters Students Given a $1 Bill O.A.0.659 Find the probability of randomly selecting a student who spent the money, given that the student was given four quarters. OB.0.675 OC.0.292 Purchased Gum 27 14 OD.0.307 Kept the Money 13 34
Organ Donors USA Today provided information about a survey of 5100 adult Internet users. Of the respondents, 2346 said they are willing to donate organs after death. In this survey conducted for Donate Life America, 100 adults were surveyed in each state and the District of Columbia, and results were weighted to account for the different state population sizes. a. What percentage of respondents said that they are willing to donate organs after death? b. Based on the poll results, what is the probability of randomly selecting an adult who is willing to donate organs after death? c. What term is used to describe the sampling method of randomly selecting 100 adults from each state and the District of Columbia?
A student selects a random sample of 145 students from her large high school. For each student, she records the grade level and their favorite type of pet. She would like to know if there is convincing evidence that grade level is associated with type of pet. Let a = 0.05. The observed and expected counts are displayed in the tables. Observed counts: Pet Dog Cat Bird Other Ninth and Tenth 21 15 8 30 Grades Eleventh and Grade 24 12 11 24 Twelfth Grades Expected counts: Pet Dog Cat Bird Other Ninth and Tenth 23.0 13.8 9.7 27.6 Grades Grade
A random experiment was run 23 times with groups of 24 mice. Each time the experiment was run, 4 mice were initially infected with a disease; the remaining mice were susceptible to contracting the disease. After one day, they measured the number of number of newly infected mice (not including those originally infected). They found the following frequency table: Newly infected mice Newly infected mice 4 5 6 7 8 9 10 11 Frequency 1 2 2 6 5 4 2 1 Determine the expected probability of transmission for this particular variant of disease. Round your answer to three decimal places.
Refer to the sample data for pre-employment drug screening shown below. If one of the subjects is randomly selected, what is the probability that the test result is a false positive? Who would suffer from a false positive result? Why? Pre-Employment Drug Screening Results Positive test result Negative test result Drug Use Is Not Indicated Drug Use Is Indicated Subject Uses Drugs 37 4. Subject Is Not a Drug User 17 35 The probability of a false positive test result is
Refer to the sample data for pre-employment drug screening shown below. If one of the subjects is randomly selected, what is the probability that the test result is a false positive? Who would suffer from a false positive result? Why? Pre-Employment Drug Screening Results Positive test result Negative test result Drug Use Is Indicated Drug Use Is Not Indicated Subject Uses Drugs 37 12 Subject Is Not a Drug User 19 32 The probability of a false positive test result is nothing. (Round to three decimal places as needed.)
Here is the probability model for the blood type of a randomly chosen person in the United States: Blood Type OA BAB Probability 0.2 0.47 0.11 ?
The data below was obtained from a random survey of 459459 people. The participants were asked their political party and whether they approve, disapprove, or have no opinion of how the president is doing his job. The results of the survey are as follows: Democrat Republican Independent Total Approve 103 56 8 167 Disapprove 109 123 5 237 Undecided 27 28 5 55 Total 239 207 18 459 If a person if selected at random, what is the empirical probability that the the person approves of the job the president is doing or is an independent?
Use the data in the following table that shows results from a polygraph (lie detector) conducted by researchers Charles R. Honts and Gordon H. Barland. In each case, it was known if the subjects lied or did not lie, so the table indicates when the polygraph was correct. If two different subjects are randomly selected without replacement, find the probability that they both lied.
A recent study has shown that approximately 31.6% of Canadians are considered 'supertasters,' or people who experience the sense of taste with greater intensity than average. Consider a sample of 23 Canadians, each of whom are asked to indicate if they are a supertaster or not. Please use this information to answer the following questions.a. Suppose you know that at least 7 of the Canadians sampled are supertasters. What is the probability that exactly 15 of the Canadians sampled are supertasters?Answer:______________Round to at least FOUR digits after the decimal if necessary. b. What is the probability that the 10th Canadian sampled is the sixth person to indicate that they are a supertaster?Answer:______________Do NOT round your answer; give all the decimals.
Refer to the sample data for pre-employment drug screening shown below. If one of the subjects is randomly selected, what is the probability that the test result is a false positive? Who would suffer from a false positive result? Why? Pre-Employment Drug Screening Results Positive test result Negative test result Drug Use Is Indicated Drug Use Is Not Indicated Subject Uses Drugs 42 11 Subject Is Not a Drug User 17 34
2. 46% of Canadians believe in ghosts. We randomly select a sample of 80 Canadians and ask them if they believe in ghosts. Let the random variable X be the number of Canadians in the sample who believe in ghosts. What is the approximate probability that there will be exactly 43 individuals who believe in ghosts in the sample?

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