Question

In a certain population, the probability that a person chosen at
random catches a pandemic disease is 0.05. Suppose that the
probability that the population catches the disease follows a
normal distribution.

(a) What is the probability that more than 45% of the
population catches the disease?

(b) What is the probability that less than 85% of the
population catches the disease?

Answer #1

Suppose that 30% of the population carry the gene for a certain
disease. We consider a random sample of 20 individuals. (a) [1
mark] What is the distribution of the number of people that carry
the gene for the disease? (b) [2 marks] In the observed sample, 8
subjects carry the gene. What is the estimated sample proportion of
gene carriers? (c) [2 marks] What is the exact probability that the
sample proportion of gene carriers is bigger than 25%?...

A diagnostic test for a certain disease is said to be 90%
accurate in that, if a person has the disease, the test will detect
it with a probability of 0.9. Also, if a person does not have the
disease, the test will report that he or she does not have it with
a probability of 0.9. Only 1% of the population has the disease in
question. If a person is chosen at random from the population and
the diagnostic...

The probability that a person has a certain disease is 0.03
Medical diagnostic tests are available to determine whether the
person actually has the disease. If the disease is actually
present, the probability that the medical diagnostic test will give
a positive result (indicating that the disease is present) is
0.88 If the disease is not actually present, the probability of a
positive test result (indicating that the disease is present) is
0.02
a. If the medical diagnostic test has...

The probability that a person has a certain disease is 0.03
Medical diagnostic tests are available to determine whether the
person actually has the disease. If the disease is actually
present, the probability that the medical diagnostic test will give
a positive result (indicating that the disease is present) is
0.92
If the disease is not actually present, the probability of a
positive test result (indicating that the disease is present) is
0.02
a. If the medical diagnostic test has...

A diagnostic test for a certain disease is believed to be 90%
accurate in detecting the disease when in fact the person has the
disease. Also, the test is believed to be 90% accurate in denying
the disease when in fact the person does not have it. Only 1% of
the population has the disease. A person is selected at random and
the diagnostic test confirms the presence of the disease, what is
the probability that the person actually has...

Assume that out of a population of 1,000, the probability of
having a certain disease is 1%. The screening for the disease has a
sensitivity of 80% and a specificity of 80%. Using Bayes' theorem,
206 people will test positive for the disease, and, of this number,
actually do not have the disease.
A. 8
B. 198
C. 10
D. 2

1. What is the probability that a value chosen from the
standard normal distribution is less than -0.67? (Keep 4
decimals)
2. What is the probability that a value chosen from the
standard normal distribution is greater than 1.8? (Keep 4
decimals)
3. what is the probability that a value chosen from the
standard normal distribution is between 0.57 and 1.35? (Keep 4
decimals)
4. Find Q1 for the standard normal distribution. (Keep 2
decimals)
5. Find Q3 for the...

12.- The probability of a certain person going out for breakfast
is 0.40 and the probability that if he goes out for breakfast he
spends more than $ 50 pesos is 0.75. What is the probability that
he will go out for breakfast and spend more than $ 50 pesos?
A= 0.3

The probability that an individual randomly selected from a
particular population has a certain disease is 0.06. A diagnostic
test correctly detects the presence of the disease 92% of the time
and correctly detects the absence of the disease 93% of the time.
If the test is applied twice, the two test results are independent,
and both are positive, what is the (posterior) probability that the
selected individual has the disease? [Hint: Tree diagram
with first-generation branches corresponding to Disease...

One percent of all individuals in a certain population are
carriers of a particular disease. A
diagnostic test for this disease has a 93% detection rate for
carriers and a 2% false positive rate. Suppose that an individual
is tested. What is the specificity of the test? What is the
probability that an individual who tests negative does not carry
the disease?

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