![jonmorton159](/avatars/3195.jpg)
jonmorton159
22.02.2020 •
Mathematics
Suppose that a drug test for an illegal drug is such that it is 98% accurate in the case of a
user of that drug (e.g. it produces a positive result with probability .98 in the case that the tested
individual uses the drug) and 90% accurate in the case of a non-user of the drig (e.g. it is negative
with probability .9 in the case the person does not use the drug). Suppose it is known that 10% of
the entire population uses this drug.
You test someone and the test is positive. What is the probability that the tested individual
uses this illegal drug?
What is the probability of a false positive with this test (e.g. the probability of obtaining a positive drug test given the person tested is a non-user)?
What is the probability of obtaining a false neg
Solved
Show answers
More tips
- F Family and Home Parents or Environment: Who Has the Most Influence on a Child s Upbringing?...
- P Philosophy Unbelievable stories of encounters with otherworldly forces...
- L Leisure and Entertainment How to Choose the Perfect Gift for Men on February 23rd?...
- H Health and Medicine How to Treat Whooping Cough in Children?...
- H Health and Medicine Simple Ways to Lower Cholesterol in the Blood: Tips and Tricks...
- O Other How to Choose the Best Answer to Your Question on The Grand Question ?...
- L Leisure and Entertainment History of International Women s Day: When Did the Celebration of March 8th Begin?...
- S Style and Beauty Intimate Haircut: The Reasons, Popularity, and Risks...
- A Art and Culture When Will Eurovision 2011 Take Place?...
- S Style and Beauty How to Choose the Perfect Hair Straightener?...
Answers on questions: Mathematics
- M Mathematics Suppose wesley is a marine biologist who is interested in the relationship between the age and the size of male dungeness crabs. wesley collects data on 1,000 crabs...
- M Mathematics Arectangular room has an area of 425 square feet. one dimension is 8 feet more than the other. find both dimensions of the room....
- M Mathematics 19. tracey stopped at the convenience store on her way to school. with tax, bottles of sodacost $1.50 and bags of chips cost $2.50. if she has $12, what is the greatest...
- M Mathematics The mean of 15 sample iq scores of statistic instructors is 118. the sample standard deviation is 11. given the sample data appear to come from a normally distributed...
- M Mathematics Marking brainliest if wendell were to slice the doghouse in half with a slice parallel to the pentagonal bases, what shape would the slice be?...
- M Mathematics The amount of carbon 14 remaining in a sample that originally contained a grams is given by c(t) = a(0.999879)t where t is time in years. if tests on a fossilized...
- M Mathematics Mr.richard owns an orchard that has a rectangular fence. the orchard is 36 yards long and 18 yards wide. if he walks across the diagonal length of the orchard how...
- M Mathematics What is the remainder when 599 is divided by 9?...
- M Mathematics Lauren earn to 4.50 an hour babysitting how much will she earn in 3.5 hours...
- M Mathematics What is the probability of taking 1 red stone out of a box containing 5 stones that are colored red, green, blue, yellow and brown? 1/4 3/4 1/5 4/5...
Ответ:
(a) The probability that the tested individual uses this illegal drug given that the result is positive is 0.5213.
(b) The probability of a false positive is 0.10.
(c) The probability of a false negative is 0.02.
Step-by-step explanation:
Let the events be denoted as follows:
D = an individual uses the illegal drug
X = the drug test result is positive.
The information provided is:
(a)
Compute the probability that the tested individual uses this illegal drug given that the result is positive as follows:
Compute the probability of the test result being positive as follows:
The probability that the tested individual uses this illegal drug given that the result is positive is:
Thus, the probability that the tested individual uses this illegal drug given that the result is positive is 0.5213.
(b)
Compute the probability of a false positive given that the result was positive as follows:
Thus, the probability of a false positive is 0.10.
(c)
Compute the probability of a false negative as follows:
Thus, the probability of a false negative is 0.02.
Ответ:
and for 5 2/7 it would be 5 times 7 plus 2.
So...
5 2/7= 37/7
1 2/5= 7/5