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ISYE 6501 Midterm 2|High Quality
Questions And Verified Answers 2026
What is the Binomial distribution? - correct-answer-Probability of getting x
success out of n independent identically distributed Bernoulli(p) trials.
For binomial distribution, as n gets very large... - correct-answer-the distribution
converges to normal distribution
What is the geometric distribution? - correct-answer-* Probability of having x
Bernoulli(p) failures until first success or, having x Bernoulli (1-p) success until first
failure; assumes each Bernoulli trial is independent and identically distributed; if it
is geometric, then its II
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D
What is the Poisson Distribution? - correct-answer-Distribution of random events
in a period, good at modeling random arrivals
What is the lambda in the Poisson Distribution? - correct-answer-average number
of arrivals or events / time period
What is the exponential distribution? - correct-answer-If arrivals are Poisson
distribution (lambda), the time between successive arrivals is exponential
(lambda), while arrival time is 1/lambda
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What is the Weibull distribution? - correct-answer-Useful modeling the amount
of time something to fail, specifically time between failures - similar to Geometric,
but Geometric tracks the number of trials while Weibull measures time
For Weibull distribution, when k < 1 - correct-answer-· Modeling when failure rate
decreases with time
· "Worst things fail first" (ex: parts with defects)
For Weibull distribution, when k > 1 - correct-answer-· Modeling when failure rate
increases with time
· "Things that wear out" (ex: tires)
For Weibull distribution, when k = 1 - correct-answer-· Modeling when failure rate
is constant with time
· Weibull = exponential
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What is the QQ plot? - correct-answer-The idea of Q-Q plot is that whatever
variations in the data there might be, and even if the number of data points in
two sets is different, two similar distributions should have about the same value
at each quantile
Why is it sometimes better to visualize the distribution of two data sets rather
than just doing a statistical test? - correct-answer-A visual representation can
may give more information such as where the distribution of data sets are
different, while a statistical test may just show if it is differing or not
Memoryless Property - correct-answer-Means it doesn't matter what happens in
the past, all that matters is where we are now in probability
ISYE 6501 Midterm 2|High Quality
Questions And Verified Answers 2026
What is the Binomial distribution? - correct-answer-Probability of getting x
success out of n independent identically distributed Bernoulli(p) trials.
For binomial distribution, as n gets very large... - correct-answer-the distribution
converges to normal distribution
What is the geometric distribution? - correct-answer-* Probability of having x
Bernoulli(p) failures until first success or, having x Bernoulli (1-p) success until first
failure; assumes each Bernoulli trial is independent and identically distributed; if it
is geometric, then its II
,2|Page
D
What is the Poisson Distribution? - correct-answer-Distribution of random events
in a period, good at modeling random arrivals
What is the lambda in the Poisson Distribution? - correct-answer-average number
of arrivals or events / time period
What is the exponential distribution? - correct-answer-If arrivals are Poisson
distribution (lambda), the time between successive arrivals is exponential
(lambda), while arrival time is 1/lambda
,3|Page
What is the Weibull distribution? - correct-answer-Useful modeling the amount
of time something to fail, specifically time between failures - similar to Geometric,
but Geometric tracks the number of trials while Weibull measures time
For Weibull distribution, when k < 1 - correct-answer-· Modeling when failure rate
decreases with time
· "Worst things fail first" (ex: parts with defects)
For Weibull distribution, when k > 1 - correct-answer-· Modeling when failure rate
increases with time
· "Things that wear out" (ex: tires)
For Weibull distribution, when k = 1 - correct-answer-· Modeling when failure rate
is constant with time
· Weibull = exponential
, 4|Page
What is the QQ plot? - correct-answer-The idea of Q-Q plot is that whatever
variations in the data there might be, and even if the number of data points in
two sets is different, two similar distributions should have about the same value
at each quantile
Why is it sometimes better to visualize the distribution of two data sets rather
than just doing a statistical test? - correct-answer-A visual representation can
may give more information such as where the distribution of data sets are
different, while a statistical test may just show if it is differing or not
Memoryless Property - correct-answer-Means it doesn't matter what happens in
the past, all that matters is where we are now in probability
