# QNT 275 Week 3 Quiz

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Week 3 Quiz

question1

What does it
mean when we say that the tails of the normal curve are asymptotic to the x
axis?

o

The tails gets
closer and closer to the x axis and eventually touch it.

o

The tails get
closer and closer to the x axis and eventually cross this axis.

o

The tails get
closer and closer to the x axis but never touch it.

o

The tails get
closer and closer to the x axis and eventually become this axis.

question2

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.

o

95%

o

2.5%

o

97.5%

o

5%

question3

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 _______.

o

95%

o

16%

o

68%

o

32%

question4

A continuous
random variable has the uniform distribution on the interval [a, b] if its
probability density functionf(x) ___________.

o

is constant for
all x between a and b, and 0 otherwise

o

is bell-shaped
between a and b

o

is symmetric
around its mean

o

asymptotically
approaches the x axis when x increases to +
or decreases to -

question5

Mutually
exclusive and collectively exhaustive events _______________.

o

do not have to
contain all outcomes in a sample space and may share common outcomes

o

contain all
outcomes in a sample space and do not share common outcomes.

o

contain all
outcomes in a sample space and may share common outcomes

o

do not have to
contain all outcomes in a sample space but do not share common outcomes

question6

What is
probability?

o

Any value
between 0 and 1 is always treated as a probability of an event.

o

A value between
0 and 1 assigned to an event that measures the likelihood of its occurrence.

o

A value between
0 and 1 assigned to an event that measures the unlikelihood of its occurrence.

o

A numerical
value assigned to an event that measures the number of its occurrences.

question7

Which of the
following can be represented by a continuous random variable?

o

The number of
arrivals to a drive-thru bank window in a four-hour period

o

The number of
defective light bulbs in a sample of 5

o

The score of a
randomly selected student on a five-question multiple-choice quiz

o

The time of a
flight between Chicago and New York

question8

Which of the following
is correct?

o

A continuous
random variable has a probability density function but not a cumulative
distribution function.

o

A continuous
random variable has a probability density function, and a discrete random
variable has a probability mass function.

o

A discrete
random variable has a probability mass function but not a cumulative
distribution function.

o

A continuous
random variable has a probability mass function, and a discrete random variable
has a probability density function.

question9

Which of the
following can be represented by a discrete random variable?

o

The finishing
time of participants in a cross-country meet

o

The number of
obtained spots when rolling a six-sided die

o

The average
outside temperature taken every day for two weeks

o

The height of
college students

question10

The probability
that a normal random variable is less than its mean is ____.

o

Cannot be
determined

o

0.0

o

1.0

o

0.5