ISDS Final Exam Questions with 100%
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Probability is the
a. number of successes divided by the standard deviation of the
distribution.
b. number of successes divided by the number of failures.
c. numerical measure of the likelihood that an event will occur.
d. chance that an event will not happen. - ✔✔numerical measure of the
likelihood that an event will occur.
A __________ describes the range and relative likelihood of all possible
values for a random variable.
a. probability mass function of an event
b. probability distribution for a random variable
c. probability
d. density function - ✔✔probability distribution for a random variable
An initial estimate of the probabilities of events is a __________ probability.
a. empirical
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b. posterior
c. conditional
d. prior - ✔✔prior
Bayes' theorem is a method used to compute __________ probabilities.
a. empirical
b. posterior
c. conditional
d. prior - ✔✔empirical
All the events in the sample space that are not part of the specified event
are called
a. independent events.
b. joint events.
c. simple events.
d. the complement of the event. - ✔✔the complement of the event.
Sample space is
a. the collection of events
b. a process that results in some outcome.
c. a subgroup of a population/the likelihood of an outcome.
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d. the collection of all possible outcomes. - ✔✔the collection of all possible
outcomes.
The event containing the outcomes belonging to A or B or both is the
__________ of A and B.
a. intersection
b. union
c. Venn diagram
d. complement - ✔✔union
Two events are independent if
a. the probability of one or both events is greater than 1.
b. P(A | B) = P(A) or P(B | A) = P(B).
c. the two events occur at the same time.
d. None of these choices are correct. - ✔✔b. P(A | B) = P(A) or P(B | A) =
P(B).
Which statement is true about mutually exclusive events?
a. If either event A or event B must occur, they are called mutually
exclusive.
b. P(A) + P(B) = 1 for any events A and B that are mutually exclusive.
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c. If events A and B cannot occur at the same time, they are called
mutually exclusive.
d. None of these choices are correct. - ✔✔If events A and B cannot occur
at the same time, they are called mutually exclusive.
A joint probability is the
a. sum of the probabilities of two events.
b. sum of the probabilities of two independent events.
c. probability of the intersection of two events.
d. probability of the union of two events. - ✔✔probability of the intersection
of two events.
In the probability table below, which value is a marginal probability?
Completed
Obstacle Course Level
No Yes Total
Challenging 0.4 0.3 0.7
Easy 0.1 0.2 0.3
Total
0.5 0.5 1.0 - ✔✔0.5