QNT 275 Week 3 Quiz

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Week 3 Quiz·        
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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%

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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%

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question4

​A continuous random variable has the uniform distribution
on the interval [ab] 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 -∞

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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

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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.

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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

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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.

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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

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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

 
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