STATISTICS 101 CH. 4 QUESTIONS WITH
COMPLETE REVIEWED UPGRADED
SOLUTIONS
P(A ̅) = 1 - P(A) - answer ✔✔-What is the formula to calculate P(A ̅)?
1. -.41, 1.22, √2 and 5/3
2. Because the probability of A is between 0 and 1 inclusive. or 0 ≤ P(A) ≤ 1 - answer ✔✔-Which of the
following values cannot be probabilities?
1) .05, -0.41, 1, 0, 3/5, 1.22, √2, 5/3
2) Why?
P(A) = # of ways A can occur / number of diff simple events = s / n - answer ✔✔-What is the formula to
find P(A) for a series of simple events (ex: tossing a coin and selecting a number at the same time)
sample space - answer ✔✔-The ____________ for a procedure consists of all possible simple events or
all outcomes that cannot be broken down any further.
equally likely. - answer ✔✔-The classical approach to probability requires that the outcomes are
_______
The law of large numbers - answer ✔✔-A procedure is repeated again and again, the relative frequency
of an event tends to approach the actual probability. This is known as ______________.
B) - answer ✔✔-Which of the following is NOT a principle of probability?
A) The probability of any event is between 0 and 1 inclusive.
, B) All events are equally likely in any probability procedure.
C) The probability of an event that is certain to occur is 1.
D) The probability of an impossible event is 0.
addition rule - answer ✔✔-When using the ____________ always be careful to avoid double-counting
outcomes.
disjoint - answer ✔✔-Events that are ____________ cannot occur at the same time.
Disjoint - answer ✔✔-____________events are mutually exclusive and cannot occur at the same time.
P(A or B) - answer ✔✔-________ indicates the probability that in a single trial, event A occurs, event B
occurs, or they both occur.
- answer ✔✔-A _______________ is any event combining two or more simple events.
actual odds in favor of - answer ✔✔-The _____________ event A occuring are the ratio P (A) / P(A ̅)
a:b or (a to b) - answer ✔✔-How else can we express P(A) / P(A ̅)
Based on the rule of complements, the sum of P(A) and P(A ̅) must always be 1, so the sum cannot be
0.5. - answer ✔✔-What is wrong with the expression P(A) + P(A ̅) - 0.5?
Yes, since they cannot occur at the same time. - answer ✔✔-Are following events disjoint?
1. Randomly selecting someone who is married.
2. Randomly selecting someone who is a bachelor.
Complement. A ̅ - answer ✔✔-The _____________ of an event is the event not occurring. How is it
denoted?
COMPLETE REVIEWED UPGRADED
SOLUTIONS
P(A ̅) = 1 - P(A) - answer ✔✔-What is the formula to calculate P(A ̅)?
1. -.41, 1.22, √2 and 5/3
2. Because the probability of A is between 0 and 1 inclusive. or 0 ≤ P(A) ≤ 1 - answer ✔✔-Which of the
following values cannot be probabilities?
1) .05, -0.41, 1, 0, 3/5, 1.22, √2, 5/3
2) Why?
P(A) = # of ways A can occur / number of diff simple events = s / n - answer ✔✔-What is the formula to
find P(A) for a series of simple events (ex: tossing a coin and selecting a number at the same time)
sample space - answer ✔✔-The ____________ for a procedure consists of all possible simple events or
all outcomes that cannot be broken down any further.
equally likely. - answer ✔✔-The classical approach to probability requires that the outcomes are
_______
The law of large numbers - answer ✔✔-A procedure is repeated again and again, the relative frequency
of an event tends to approach the actual probability. This is known as ______________.
B) - answer ✔✔-Which of the following is NOT a principle of probability?
A) The probability of any event is between 0 and 1 inclusive.
, B) All events are equally likely in any probability procedure.
C) The probability of an event that is certain to occur is 1.
D) The probability of an impossible event is 0.
addition rule - answer ✔✔-When using the ____________ always be careful to avoid double-counting
outcomes.
disjoint - answer ✔✔-Events that are ____________ cannot occur at the same time.
Disjoint - answer ✔✔-____________events are mutually exclusive and cannot occur at the same time.
P(A or B) - answer ✔✔-________ indicates the probability that in a single trial, event A occurs, event B
occurs, or they both occur.
- answer ✔✔-A _______________ is any event combining two or more simple events.
actual odds in favor of - answer ✔✔-The _____________ event A occuring are the ratio P (A) / P(A ̅)
a:b or (a to b) - answer ✔✔-How else can we express P(A) / P(A ̅)
Based on the rule of complements, the sum of P(A) and P(A ̅) must always be 1, so the sum cannot be
0.5. - answer ✔✔-What is wrong with the expression P(A) + P(A ̅) - 0.5?
Yes, since they cannot occur at the same time. - answer ✔✔-Are following events disjoint?
1. Randomly selecting someone who is married.
2. Randomly selecting someone who is a bachelor.
Complement. A ̅ - answer ✔✔-The _____________ of an event is the event not occurring. How is it
denoted?
