Statistics Week 4 with complete
verified solutions 2025-2026
____________ is a measure of likeliness of an event occuring - answer
probability
The probability of all events together must be _ - answer 1
The probability of an event = 1- the probability the event will ___ happen -
answer not
The probability that at least ___ event will occur = 1- the probability that
no event will occur - answer one
The probability of at least one of the two events occuring = the probability
of one event + the probability of the other event - the probability that
_____ events will occur - answer both
- must be non-negative
- cannot be greater than 1
- all situations together is 1 - answer probability
______ __________ are as set of possible values from a random experiment
and their associated probabilities - answer random variables
_____________ __________ are used to record the correspondence between the
outcome values of a variable and their probabilities - answer probability
functions (pf)
_____________ ________ _________ (pdf) is a curve that measures the probability
for a continuous
, - the area under the curve is equivalent to the probability for an interval -
answer probability density function
_ = X- mean/ standard deviation - answer Z
_-scores measure the number of standard deviations between the mean
and some particular data value - answer Z
______ tables can be used to extract probabilities for standard normal
random variables - answer normal
If the p-value is _ 0.05, then it is not normally distributed - answer <
A system of linear equations (=SLE or a linear system): - answer A finite
collection of one or more linear equations involving the
same set of variables, say, x1, x2,..., xn.
A solution of a SLE, - answer A list s1,s2,...,sn of numbers that makes each
equation in the
system true when the values s1,s2,...,sn are substituted for
x1, x2,..., xn, respectively.
A system of linear equations has - answer (i) exactly one solution
(consistent) or
(ii) infinitely many solutions (consistent) or
(iii) no solution (inconsistent).
Two Fundamental Questions (Existence and Uniqueness) - answer 1) Is the
system consistent? (i.e. does a solution exist?)
2) If a solution exists, is it unique? (i.e. is there one & only one
solution?)
Row Echelon Form - answer 1. All nonzero rows are above any rows of all
zeros, called 0-rows.
verified solutions 2025-2026
____________ is a measure of likeliness of an event occuring - answer
probability
The probability of all events together must be _ - answer 1
The probability of an event = 1- the probability the event will ___ happen -
answer not
The probability that at least ___ event will occur = 1- the probability that
no event will occur - answer one
The probability of at least one of the two events occuring = the probability
of one event + the probability of the other event - the probability that
_____ events will occur - answer both
- must be non-negative
- cannot be greater than 1
- all situations together is 1 - answer probability
______ __________ are as set of possible values from a random experiment
and their associated probabilities - answer random variables
_____________ __________ are used to record the correspondence between the
outcome values of a variable and their probabilities - answer probability
functions (pf)
_____________ ________ _________ (pdf) is a curve that measures the probability
for a continuous
, - the area under the curve is equivalent to the probability for an interval -
answer probability density function
_ = X- mean/ standard deviation - answer Z
_-scores measure the number of standard deviations between the mean
and some particular data value - answer Z
______ tables can be used to extract probabilities for standard normal
random variables - answer normal
If the p-value is _ 0.05, then it is not normally distributed - answer <
A system of linear equations (=SLE or a linear system): - answer A finite
collection of one or more linear equations involving the
same set of variables, say, x1, x2,..., xn.
A solution of a SLE, - answer A list s1,s2,...,sn of numbers that makes each
equation in the
system true when the values s1,s2,...,sn are substituted for
x1, x2,..., xn, respectively.
A system of linear equations has - answer (i) exactly one solution
(consistent) or
(ii) infinitely many solutions (consistent) or
(iii) no solution (inconsistent).
Two Fundamental Questions (Existence and Uniqueness) - answer 1) Is the
system consistent? (i.e. does a solution exist?)
2) If a solution exists, is it unique? (i.e. is there one & only one
solution?)
Row Echelon Form - answer 1. All nonzero rows are above any rows of all
zeros, called 0-rows.
