QNT 275 WEEK 3 QUIZ
QNT 275 WEEK 3 QUIZ
The probability that a normal random variable
is less than its mean is ____.
0.5
Cannot
be determined
1.0
0.0
Mutually exclusive and collectively exhaustive
events _______________.
do
not have to contain all outcomes in a sample space and may share common
outcomes
contain
all outcomes in a sample space and do not share common outcomes.
contain
all outcomes in a sample space and may share common outcomes
do
not have to contain all outcomes in a sample space but do not share common
outcomes
A continuous random variable has the uniform
distribution on the interval [a, b] if its probability density
functionf(x) ___________.
is
bell-shaped between a and b
is
constant for all x between a and b, and 0 otherwise
asymptotically
approaches the x axis when x increases to +∞ or decreases to -∞
is
symmetric around its mean
What is probability?
A
value between 0 and 1 assigned to an event that measures the likelihood of its
occurrence.
Any
value between 0 and 1 is always treated as a probability of an event.
A
value between 0 and 1 assigned to an event that measures the unlikelihood of
its occurrence.
A
numerical value assigned to an event that measures the number of its
occurrences.
For any normally distributed random variable
with mean μ and standard deviation σ, the percent of the
observations that fall between and is closest to
_______.
95%
32%
68%
16%
Which of the following can be represented by a
continuous random variable?
The
number of arrivals to a drive-thru bank window in a four-hour period
The
number of defective light bulbs in a sample of 5
The
time of a flight between Chicago and New York
The
score of a randomly selected student on a five-question multiple-choice quiz
What does it mean when we say that the tails
of the normal curve are asymptotic to the x axis?
The
tails get closer and closer to the x axis and eventually cross this axis.
The
tails get closer and closer to the x axis but never touch it.
The
tails get closer and closer to the x axis and eventually become this axis.
The
tails gets closer and closer to the x axis and eventually touch it.
Which of the following is correct?
A
continuous random variable has a probability mass function, and a discrete
random variable has a probability density function.
A
continuous random variable has a probability density function but not a
cumulative distribution function.
A
continuous random variable has a probability density function, and a discrete
random variable has a probability mass function.
A
discrete random variable has a probability mass function but not a cumulative
distribution function.
QNT 275
WEEK 3 QUIZ
You work in marketing for a company that
produces work boots. Quality control has sent you a memo detailing the length
of time before the boots wear out under heavy use. They find that the boots
wear out in an average of 208 days, but the exact amount of time varies,
following a normal distribution with a standard deviation of 14 days. For an
upcoming ad campaign, you need to know the percent of the pairs that last
longer than six months-that is, 180 days. Use the empirical rule to approximate
this percent.
2.5%
5%
97.5%
95%
QNT 275
WEEK 3 QUIZ
Which of the following can be represented by a
discrete random variable?
The
number of obtained spots when rolling a six-sided die
The
height of college students
The
finishing time of participants in a cross-country meet
The
average outside temperature taken every day for two weeks
QNT 275
WEEK 3 QUIZ
QNT 275 WEEK 3 QUIZ
The probability that a normal random variable
is less than its mean is ____.
0.5
Cannot
be determined
1.0
0.0
Mutually exclusive and collectively exhaustive
events _______________.
do
not have to contain all outcomes in a sample space and may share common
outcomes
contain
all outcomes in a sample space and do not share common outcomes.
contain
all outcomes in a sample space and may share common outcomes
do
not have to contain all outcomes in a sample space but do not share common
outcomes
A continuous random variable has the uniform
distribution on the interval [a, b] if its probability density
functionf(x) ___________.
is bell-shaped
between a and b
is
constant for all x between a and b, and 0 otherwise
asymptotically
approaches the x axis when x increases to +∞ or decreases to -∞
is
symmetric around its mean
What is probability?
QNT 275
WEEK 3 QUIZ
A
value between 0 and 1 assigned to an event that measures the likelihood of its
occurrence.
Any
value between 0 and 1 is always treated as a probability of an event.
A
value between 0 and 1 assigned to an event that measures the unlikelihood of
its occurrence.
A
numerical value assigned to an event that measures the number of its
occurrences.
For any normally distributed random variable
with mean μ and standard deviation σ, the percent of the
observations that fall
between and is closest to _______.
95%
32%
68%
16%
QNT 275
WEEK 3 QUIZ
Which of the following can be represented by a
continuous random variable?
The
number of arrivals to a drive-thru bank window in a four-hour period
The
number of defective light bulbs in a sample of 5
The
time of a flight between Chicago and New York
The
score of a randomly selected student on a five-question multiple-choice quiz
What does it mean when we say that the tails
of the normal curve are asymptotic to the x axis?
The
tails get closer and closer to the x axis and eventually cross this axis.
The
tails get closer and closer to the x axis but never touch it.
The
tails get closer and closer to the x axis and eventually become this axis.
The
tails gets closer and closer to the x axis and eventually touch it.
Which of the following is correct?
A
continuous random variable has a probability mass function, and a discrete
random variable has a probability density function.
A
continuous random variable has a probability density function but not a
cumulative distribution function.
A
continuous random variable has a probability density function, and a discrete
random variable has a probability mass function.
A
discrete random variable has a probability mass function but not a cumulative
distribution function.
You work in marketing for a company that produces
work boots. Quality control has sent you a memo detailing the length of time
before the boots wear out under heavy use. They find that the boots wear out in
an average of 208 days, but the exact amount of time varies, following a normal
distribution with a standard deviation of 14 days. For an upcoming ad campaign,
you need to know the percent of the pairs that last longer than six months-that
is, 180 days. Use the empirical rule to approximate this percent.
2.5%
5%
97.5%
95%
QNT 275
WEEK 3 QUIZ
Which of the following can be represented by a
discrete random variable?
The
number of obtained spots when rolling a six-sided die
The
height of college students
The
finishing time of participants in a cross-country meet
The
average outside temperature taken every day for two weeks
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