Question

Individuals who have a certain gene have a 0.65 probability of
contracting a certain disease. Suppose that 1,171 individuals with
the gene participate in a lifetime study. What is the standard
deviation of the number of people who eventually contract 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 human gene carries a certain disease from the mother to the
child with a probability rate of 40%. That is, there is a 40%
chance that the child becomes infected with the disease. Suppose a
female carrier of the gene has three children. Assume that the
infections of the three children are independent of one another.
Find the probability that at least one of the children get the
disease from their mother.

Suppose the probability that a randomly selected person has a
certain type of gene is 0.10. A randomly selected group of people
are tested for this gene. What is the probability that the third
person carrying this gene will be found at the eighth
selection?

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?

Sickle-cell anemia is a disease that results when a person has
two copies of a certain recessive gene. People with one copy of the
gene are called carriers. Carriers do not have the disease, but can
pass the gene on to their children. A child born to parents who are
both carriers has probability 0.25 of having sickle-cell anemia. A
medical study samples 18 children in families where both parents
are carriers. What is the probability that four or more...

Researchers believe that 6% of children have a gene that may be
linked to a certain childhood disease. In an effort to track 50 of
these children, researchers test 950 newborns for the presence of
this gene. What is the probability they find enough subjects for
their study?

Suppose that we study a gene that has been linked to coronary
heart disease. We find in a pilot study that in subjects with the
C/ C genotype 20 events have occurred in 200 individuals over a
period of 10 years, whereas in subjects with the T/ T genotype 30
events have occurred in 250 individuals in 10 years. Which genotype
appears to be associated with a higher prevalence of heart
disease?

Suppose four out of every 10,000 individuals in a country has a
rare disease. a test for the disease exist. individuals known to
have the disease test positive 96% of the time individuals known to
be free of the disease test negative 96% of the time. Suppose an
individual from the country is selected at random( with all being
equally likely to be selected) and given the test . Given that the
individuals test positive what is the probability that...

Q3. In a village, if the proportion of individuals who have
sickle-cell disease is 0.40, and the population is assumed to be at
Hardy-Weinberg equilibrium, what is the expected frequency of the
HbS allele? (Hint: What is the genotype of people with sickle-cell
disease, and how is that genotype represented in the Hardy-Weinberg
equation?)
0.80 0.63 0.20 0.16

It’s known that 3 % of people in a certain population have the
disease. A blood test gives a
positive result (indicating the presence of disease) for 90% of
people who have the disease,
and it is also positive for 5% of healthy people
One person is tested and the test gives positive result
If the test result is positive for the person, then the
probability that this person actually has
a disease is _________
If the test result is...

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