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ISyE 2027 Final Exam latest questions and answers all are correct graded A+ $7.99
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ISyE 2027 Final Exam latest questions and answers all are correct graded A+

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probability mass function (pmf) - ️️p(a) = P(X=a) -The pmf of a discrete random variable gives the probability that the random variable will equal a given value cumulative distribution function - ️️SOS F:R --> [0,1] Bernoulli distribution - ️️success or failure X=1 success X=0...

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  • December 8, 2024
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  • ISyE 2027
  • ISyE 2027
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PatrickKaylian
ISyE 2027 Final Exam
probability mass function (pmf) - ✔️✔️p(a) = P(X=a)
-The pmf of a discrete random variable gives the probability that the random variable
will equal a given value

cumulative distribution function - ✔️✔️SOS
F:R --> [0,1]

Bernoulli distribution - ✔️✔️success or failure
X=1 success
X=0 failure
P(1) = P(X=1) = P
P(0) = P(X=0) = 1-P

Binomial distribution - ✔️✔️Let X represent the number of successes in n trials
X~Bin(n,p)
sequence of Bernoullis

Geometric distribution - ✔️✔️Let X equal the number of trials until a success occurs

Poisson random variable - ✔️✔️A random variable X, taking on values 0,1,2,3... is
poisson w parameter λ for some λ>0
counting process
counts events in a time period

exponential random variable - ✔️✔️time until some event occurs


Discrete uniform distribution - ✔️✔️sos

probability is... - ✔️✔️starting with an animal and figuring out what footprints it will
make

statistics is... - ✔️✔️seeing a footprint and guessing the animal

disjoint - ✔️✔️A ∩ B = ∅ therefore P(A|B) = 0

independence - ✔️✔️P(A|B) = P(A)

P(A|B) - ✔️✔️P(A∩B)/P(B)

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