Question

Let A be the event that a given patient of a health clinic has the flu. Let B be the event that a given patient of that same health clinic has a fever, and let C be the event that a given patient of that same health clinic has a cough. Assume that 5% of the patients of the clinic have the flu and that of those patients, 90% have a fever, 85% have a cough, and 97% have either a cough or a fever.

a.) Determine the probability that a patient at the health clinic with the flu has a fever and a cough.

b.) If 10.5% of the patients of the clinic who do not have the flue have a fever, are the events A and B independent?

c.) What is the probability that a given patient of the clinic with a fever has the flu if P(B l Ac) = .105?

d.) Let D be the event that a given patient of the same health clinic is male. If 3% of the health clinic's patients are males with the flu, and 60% of the clinic's patients are male, are the events A and D independent?

Answer #1

Please let me know if you need any further explanation. Thank
you

Let A be the event that a given patient of a health clinic has
coronavirus. Let B be the event that a given patient of that some
health clinic has a fever, and let C be the event that a given
patient of that same health clinic has a cough. Assume that 5% of
the patients of the clinic have coronavirus and that of those
patients, 90% have a fever, 85% have a cough and 97% have either a
cough...

Let A be the event that a given patient of a health clinic has
coronavirus. Let B be the event that a given patient of that some
health clinic has a fever, and let C be the event that a given
patient of that same health clinic has a cough. Assume that 5% of
the patients of the clinic have coronavirus and that of those
patients, 90% have a fever, 85% have a cough and 97% have either a
cough...

1) Let D = 1 denote the event that an adult male has a
particular disease. In the population, it is known that the
probability of having this disease is 20 percent, i.e.,Pr(D = 1) =
:2
Now, suppose that an adult male has a son. Unlike the father's
birth, new health policy now requires that all newborn males are
tested for the disease. Suppose that a particular adult male's son
is tested, and is confirmed not to carry this...

MC0402: Suppose there are two events, A and B.
The probability of event A is P(A) = 0.3.
The probability of event B is P(B) = 0.4.
The probability of event A and B (both occurring) is P(A and B)
= 0.
Events A and B are:
a.
40%
b.
44%
c.
56%
d.
60%
e.
None of these
a.
Complementary events
b.
The entire sample space
c.
Independent events
d.
Mutually exclusive events
e.
None of these
MC0802: Functional...

In a doctor's waiting room, the probability of a patient
having a fever (F) is 0.25, the probability of a patient having
nausea (N) is 0.15, and the probability of a patient having both
conditions is 0.10 Answer these questions : (results to two decimal
places)
a. What is the probability that a patient is not
nauseated?
b. What is the probability that a patient does not have any of
the conditions?
c. What is the probability that a patient...

Let A be the event that a family has children of both sexes, and
let B = the event that a family has at most one boy.
(i) Show that A and B are independent events if a family has
three children
(ii) Show that A and B are dependent events if a family has two
children.

4. Suppose that we randomly select one American Adult. Let A be
the event that the individuals annual income $100,000 and let B be
the event that the individual has at least a bachelors degree.
a. Without knowing any of the actual probabilities involved,
would you expect the events A and B to be independent or not?
Clearly explain in a few words.
According to a Census Bureau, P(A)= 0.20, P(B)= 0.35, P(A ∩ B)=
0.14
b. What is the...

The sensitivity of a medical test refers to the test’s ability
to correctly detect ill patients who have the condition.
Mathematically, sensitivity is equivalent to the probability that
the test indicates a patient is ill given that the patient is ill.
The specificity of a medical test refers to the test’s ability to
correctly detect that a healthy patient does not have the
condition. Mathematically, specificity is equivalent to the
probability that the test indicates the patient is healthy given...

A survey shows that 80% of a population has been vaccinated
against the flu, but 5% of the vaccinated population gets the flu
anyway. In total 10% of the population gets the flu. Let V be the
event that a randomly selected person in the population has been
vaccinated and F the event that a randomly selected person in the
population gets the flu.
(a) Present the information using either a Venn diagram or a table
or both.
(b) Estimate...

Consider the experiment of randomly selecting an adult American.
Let A be the event that a person has the disease and let B be the
event that a person tests positive for the disease.
(a) There are three probabilities given above. Give each of them
in terms of the events A and B.
(b) In terms of the events A and B, what probability is it that
we wish to compute? Give the correct “formula” for computing that
probability
(c)...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 12 minutes ago

asked 16 minutes ago

asked 32 minutes ago

asked 32 minutes ago

asked 51 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 3 hours ago