Question
In: Statistics and Probability
A test is designed to detect cancer. If a person has cnacer, then the probability that...
A test is designed to detect cancer. If a person has cnacer, then the probability that the test will detect it is .95; if the person does not have cancer, the probability that the test will erroneously indicate that he does have cancer is .1. Assume 15% of the population who take the test have cancer. What is t he probability that a person described by the test as not having cancer really does have it?
Solutions
orchestra answered 2 years agoRelated Solutions
A new, simple test has been developed to detect a particular type of cancer. The test...
A new, simple test has been developed to detect a particular
type of cancer. The test must be evaluated before it is put into
use. A medical researcher selects a random sample of
1,000
adults and finds (by other means) that
3%
have this type of cancer. Each of the
1,000
adults is given the test, and it is found that the test
indicates cancer in
97%
of those who have it and in
2%
of those who do not....
In a clinical study of a test devised to detect colorectal cancer it was found that...
In a clinical study of a test devised to detect colorectal
cancer it was found that 13% of people without cancer received a
positive result (false positive) and 8% of people with cancer
received a negative result (false negative). According to the
American Cancer Society, the lifetime risk of developing colorectal
cancer is about 1 in 22 (4:49%) for men and 1 in 24 (4:15%) for
women. According to the World Bank the population of the U. S. is
50:52%...
A new medical test has been designed to detect the presence of the mysterious Brainlesserian disease....
A new medical test has been designed to detect the presence of
the mysterious Brainlesserian disease. Among those who have the
disease, the probability that the disease will be detected by the
new test is 0.78. However, the probability that the test will
erroneously indicate the presence of the disease in those who do
not actually have it is 0.02. It is estimated that 19 % of the
population who take this test have the disease.
If the test administered...
A medical test has been designed to detect the presence of a certain disease. Among people...
A medical test has been designed to detect the presence of a
certain disease. Among people who have the disease, the probability
that the disease will be detected by the test is 0.93. However, the
probability that the test will erroneously indicate the presence of
the disease in those who do not actually have it is 0.03. It is
estimated that 3% of the population who take this test have the
disease. (Round your answers to three decimal places.)
(a)...
Assume that on a standardized test of 100 questions, a person has a probability of 80%...
Assume that on a standardized test of 100 questions, a person
has a probability of 80% of answering any particular question
correctly. Find the probability of answering between 70 and 80
questions, inclusive. (Assume independence, and round your answer
to four decimal places.)
P(70 ≤ X ≤ 80) =
Sensitivity is the probability that a test will identify a person who has the disease you...
Sensitivity is the probability that a test will identify a
person who has the disease you are testing for.
Question 9 options:
True
False
Which of the following statements is NOT true when describing
Specificity?
Question 10 options:
A) It measures the effectiveness of a test in returning a
negative test result to people who do not have the disease.
B) It is the ability of a test to correctly identify people who
have the disease you are testing for....
If an infected person is tested for corona, the probability that the test will give a...
If an infected person is tested for corona, the probability that
the test will give a positive result is 0.60 and if this person is
not infected the probability that it will give a positive result is
0.10. Suppose that 2% of the people are corona infected. If one
random person is tested for corona using this test, then the
probability that the test will give a positive result is
For a medical test, the probability of testing positive for a healthy person is 5%. Based...
For a medical test, the probability of testing positive for a
healthy person is 5%. Based on this, can we find the probability of
testing positive for an infected person? If yes, explain how; if
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In one city, the probability that a person will pass his or her driving test on...
In one city,
the probability that a person will pass his or her driving test on
the first attempt is 0.7. Assume
that 10
people are
selected at random from among those taking their driving test for
the first time.
(a)
[5
points] What are the
values of n, p, and q in this problem?
(b)
[30
points] What is the
probability that at least 8 of
the 10 selected people pass the test?
(c)
[10
points] Determine the
mean...
In one city, the probability that a person will pass his or her driving test on...
In one city, the probability that a person will pass his or her
driving test on the first attempt is 0.68. Eleven people are
selected at random from among those taking their driving test for
the first time.
1. What is the probability that among these 11 people,
exactly 7 people will pass their driving test for
the first time?
a. 0.0144
b. 0.7437
c. 0.2326
d. 0.4890
2. What is the probability that among these 11 people,
at least...
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