![HalpMehPlz](/avatars/26705.jpg)
HalpMehPlz
12.10.2019 •
Mathematics
Atest to determine whether a certain antibody is present is 99.2% effective. this means that the test will accurately come back negative if the antibody is not present (in the test subject). the probability of a test coming back positive when the antibody is not present (a false positive) is 0.008. suppose the test is given to six randomly selected people who do not have the antibody.
(a) what is the probability that the test comes back negative for all six people?
(b) what is the probability that the test comes back positive for at least one of the six people?
Solved
Show answers
More tips
- B Business and Finance What is the Difference Between Visa and Visa Gold?...
- A Animals and plants Why do cats go crazy over catnip?...
- W Work and Career Everything You Need to Know About MBA Programs...
- S Sport How to Do Push-ups Correctly?...
- S Style and Beauty How to Grow Hair Faster: Real Methods and Advice...
- F Family and Home How to Remove Fading from Clothes: Tips and Tricks...
- F Food and Cooking How to Make Polendwitsa at Home?...
- 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?...
Answers on questions: Mathematics
- M Mathematics X+ 91 = 100 what does x equal? ***explain the answer ! ** : d...
- M Mathematics Astudy found that 3939% of the assisted reproductive technology (art) cycles resulted in pregnancies. twenty-fourfour percent of the art pregnancies resulted in multiple births....
- M Mathematics Write the problem 125×64 in expanded form...
- M Mathematics PLEASE HELP WILL GIVE BRAINLIEST! What is the surface area of the square pyramid? Enter your answer in the box. [ ] in²...
- M Mathematics 7 What is the relation between the variables in the equation = 7? C. a. X* varies inversely as y b. x4 varies directly as y y varies directly as x* d. y varies inversely as...
- B Biology The more rapidly sedimentation occurs, the more likely it is that the remains will successfully form a fossil. as sedimentation continues, what happens to the amount of weight...
- E English The Odyssey vs O Brother Where Art Thou essay...
- H History Do you agree or disagree with his opinion? Explain why or why not?...
Ответ:
a) 95.29% probability that the test comes back negative for all six people
b) 4.71% probability that the test comes back positive for at least one of the six people
Step-by-step explanation:
For each person who do not have the antibody and are given the test, there are only two possible outcomes. Either the test comes back negative, or it comes back positive. The probability of the test coming back negative for a person is independent of any other person. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
99.2% effective
So![p = 0.992](/tpl/images/0314/1485/4b60b.png)
six randomly selected people
This means that![n = 6](/tpl/images/0314/1485/bc95f.png)
(a) What is the probability that the test comes back negative for all six people?
This is P(X = 6).
95.29% probability that the test comes back negative for all six people
(b) What is the probability that the test comes back positive for at least one of the six people?
Either it comes negative for all six people, or it comes positive for at least one of them. The sum of the probabilities of these events is 100%. So
p + 95.29 = 100
p = 4.71
4.71% probability that the test comes back positive for at least one of the six people
Ответ:
B
Step-by-step explanation:
The domain of a function is all of the x values of a function. Since there seem to be no constraints on the values of x (we know this because the function is continuous and it goes on forever in both sides), the answer is B.