CBAD - Statistics 2 questions with
correct answers
Chapter 5:
Random experiment - correct answer ✔✔Observational process whose results cannot be known in
advance
Chapter 5:
Sample space - correct answer ✔✔the set of all possible outcomes
Chapter 5:
Event - correct answer ✔✔Subset of outcomes in the sample space
Chapter 5:
Simple event - correct answer ✔✔an elementary event, a single outcome
Chapter 5:
Probability - correct answer ✔✔likelihood that a particular event will occur
Chapter 5:
Three views of probability and their meaning - correct answer ✔✔Empirical; estimated from observed
outcome frequency, example there's a 3.2% chance of twins in a randomly chosen birth
classical; known a prioriti by the nature of the experiment, example there is a 50% chance of heads on a
coin flip
subjective; based on informed opinion or judgment, example there is a 60% chance that Toronto will bid
for the 2024 winter Olympics
,Chapter 5:
P(A)=0 - correct answer ✔✔Event cannot occur
Chapter 5:
P(A)=1 - correct answer ✔✔event is certain to occur
Chapter 5:
Classical approach - correct answer ✔✔use deduction to determine P(A)
Chapter 5:
Subjective approach - correct answer ✔✔probability is needed when there's no repeatable random
experiment
for example what is the probability that Fords new supplier of plastic fasteners will be able to meet the
September 23 shipment deadline or what is the probability that a new truck product program will show
a return on investment of at least 10%, or what is the probability that the price of Forte stock will raise
within the next 30 days
Chapter 5:
Subjective - correct answer ✔✔probability reflects someone's informed judgment about the likelihood
of an event
Chapter 5:
Complement - correct answer ✔✔P(A) + p(A') = 1
Chapter 5:
Probability of the complement of a is found by subtracting the probability of A from 1 - correct answer
✔✔P(A') = 1-P(A)
Chapter 5:
, Union - correct answer ✔✔Two events consist of all outcomes in the sample space capital S that are
contained either an event A or an event B or in both
Chapter 5:
Intersection - correct answer ✔✔two events A and B is the event consisting of all outcomes in the
sample space S that are contained in both event A and event B
Chapter 5:
General law of addition - correct answer ✔✔the probability of the union of two events A and B is the
sum of their probabilities less the probability of the intersection
P(A∪B)=P(A)+P(B)−P(A∩B)
Chapter 5:
Events A and B are mutually exclusive (or disjoint) if their intersection is the empty set (a set that
contains no elements) - correct answer ✔✔
Chapter 5:
If A and B are mutually exclusive events, then P(A ∩ B) = 0 and the general addition law can be simplified
to the sum of the individual probabilities for A and B, the special law of addition. - correct answer
✔✔P(A∪B)=P(A)+P(B)(addition law for mutually exclusive events)
For example, if we look at a person's age, then P(under 21) = .28 and P(over 65) = .12, so P(under 21 or
over 65) = .28 + .12 = .40 because these events do not overlap.
Chapter 5:
Events are collectively exhaustive if their union is the entire sample space S (i.e., all the events that can
possibly occur). Two mutually exclusive, collectively exhaustive events are binary (or dichotomous)
events. - correct answer ✔✔
Chapter 5:
If events A and B are independent, then - correct answer ✔✔P(A∩B)=P(A)P(B)
correct answers
Chapter 5:
Random experiment - correct answer ✔✔Observational process whose results cannot be known in
advance
Chapter 5:
Sample space - correct answer ✔✔the set of all possible outcomes
Chapter 5:
Event - correct answer ✔✔Subset of outcomes in the sample space
Chapter 5:
Simple event - correct answer ✔✔an elementary event, a single outcome
Chapter 5:
Probability - correct answer ✔✔likelihood that a particular event will occur
Chapter 5:
Three views of probability and their meaning - correct answer ✔✔Empirical; estimated from observed
outcome frequency, example there's a 3.2% chance of twins in a randomly chosen birth
classical; known a prioriti by the nature of the experiment, example there is a 50% chance of heads on a
coin flip
subjective; based on informed opinion or judgment, example there is a 60% chance that Toronto will bid
for the 2024 winter Olympics
,Chapter 5:
P(A)=0 - correct answer ✔✔Event cannot occur
Chapter 5:
P(A)=1 - correct answer ✔✔event is certain to occur
Chapter 5:
Classical approach - correct answer ✔✔use deduction to determine P(A)
Chapter 5:
Subjective approach - correct answer ✔✔probability is needed when there's no repeatable random
experiment
for example what is the probability that Fords new supplier of plastic fasteners will be able to meet the
September 23 shipment deadline or what is the probability that a new truck product program will show
a return on investment of at least 10%, or what is the probability that the price of Forte stock will raise
within the next 30 days
Chapter 5:
Subjective - correct answer ✔✔probability reflects someone's informed judgment about the likelihood
of an event
Chapter 5:
Complement - correct answer ✔✔P(A) + p(A') = 1
Chapter 5:
Probability of the complement of a is found by subtracting the probability of A from 1 - correct answer
✔✔P(A') = 1-P(A)
Chapter 5:
, Union - correct answer ✔✔Two events consist of all outcomes in the sample space capital S that are
contained either an event A or an event B or in both
Chapter 5:
Intersection - correct answer ✔✔two events A and B is the event consisting of all outcomes in the
sample space S that are contained in both event A and event B
Chapter 5:
General law of addition - correct answer ✔✔the probability of the union of two events A and B is the
sum of their probabilities less the probability of the intersection
P(A∪B)=P(A)+P(B)−P(A∩B)
Chapter 5:
Events A and B are mutually exclusive (or disjoint) if their intersection is the empty set (a set that
contains no elements) - correct answer ✔✔
Chapter 5:
If A and B are mutually exclusive events, then P(A ∩ B) = 0 and the general addition law can be simplified
to the sum of the individual probabilities for A and B, the special law of addition. - correct answer
✔✔P(A∪B)=P(A)+P(B)(addition law for mutually exclusive events)
For example, if we look at a person's age, then P(under 21) = .28 and P(over 65) = .12, so P(under 21 or
over 65) = .28 + .12 = .40 because these events do not overlap.
Chapter 5:
Events are collectively exhaustive if their union is the entire sample space S (i.e., all the events that can
possibly occur). Two mutually exclusive, collectively exhaustive events are binary (or dichotomous)
events. - correct answer ✔✔
Chapter 5:
If events A and B are independent, then - correct answer ✔✔P(A∩B)=P(A)P(B)
