Which of the following experiments could be used to simulate an
event in which the probability of success, P(success) is 1/3, and
the number of successes out of 10 events is desired?
A. Use a spinner that is divided into 4 equal parts. Choose 1
color for a success; the other 3 colors will represent
unsuccessful. Spin the spinner 10 times, once for each event.
B. Roll a die. Let 5 and 6 represent a success and the other
values...
In order to test a
hypothesis and prediction, controlled experiments are used.
Controlled experiments involve several necessary components. An
independent variable is usually manipulated by a researcher but
does not change as a result of the experiment. The changes in the
dependent variable may be caused by the experiment (and depend upon
the independent variable). Graphs that depict the experimental data
list the independent variable on the x-axis while the y-axis shows
the dependent variable.
A commonly used
mnemonic (memory...
A certain virus infects 10 in every 1000 people.
A test used to detect the virus in a person is positive 80% of
the time when the person has the virus (20% false negative), and 5%
of the time when the person does not have the virus (5% false
positive).
That is 20% of of the time when the test should be positive but
didn't, and 5% of the time the test indicated positive and
shouldn't.
1) Out of all...
A certain virus infects 1 in every 600 people. A test used to
detect the virus in a person is positive 90% of the time if the
person has the virus and 10% of the time if the person does not
have the virus. Let A be the event that the 'person is infected'
and B be the event that the 'person tests positive'
A: Find the probability that the person has the virus given that
they tested positive
B:...
A certain virus infects one in every 400 people. A test used to
detect the virus in a person is positive 90% of the time if the
person has the virus and 10% of the time if the person does not
have the virus. Let A be the event "the person is infected" and B
be the event "the person tests positive."
(a) Find the probability that a person has the virus given that
they have tested positive.
(b) Find...
A certain virus infects one in every 400 people. A test used to
detect the virus in a person is positive 80% of the time if the
person has the virus and 8% of the time if the person does not have
the virus. (This 8% result is called a false positive.) Let A be
the event "the person is infected" and B be the event "the person
tests positive".
a) Find the probability that a person has the virus...
A certain virus infects one in every 400 people. A test used to
detect the virus in a person is positive 85% of the time if the
person has the virus and 5% of the time if the person does not have
the virus. (This 5% result is called a false positive). Let A be
the event "the person has the virus" and B be the event "the person
tests positive".
1) Find the probability that A person has the...
A certain virus infects one in every
150
people. A test used to detect the virus in a person is
positive
80%
of the time when the person has the virus and
55%
of the time when the person does not have the virus. (This
55%
result is called a false
positive.)
Let A be the event "the person is infected" and B be the
event "the person tests positive."
(a) Using Bayes' Theorem, when a person tests positive,
determine...