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STAT 503 EXAM QUESTIONS AND ANSWERS ALL CORRECT
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STAT 503 EXAM QUESTIONS AND ANSWERS ALL CORRECT What is an outcome? - Answer-Observation of a variable What is a probability model? - Answer-A mathematical description of a random phenomenon consisting of 2 parts (sample space and way of assigning probability to event) What is the multip...

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  • August 9, 2024
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  • 2024/2025
  • Exam (elaborations)
  • Questions & answers

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STAT 503 EXAM QUESTIONS AND
ANSWERS ALL CORRECT
What is an outcome? - Answer-Observation of a variable

What is a probability model? - Answer-A mathematical description of a random
phenomenon consisting of 2 parts (sample space and way of assigning probability to
event)

What is the multiplication rule? (independent) - Answer-P(AB) = P(A) P(B|A) = P(B)
P(A|B)

What is the addition rule? (disjoint) - Answer-P(A or B) = P(A) + P(B) - P(AB)

If A and B are disjoint, the must be dependent. - Answer-TRUE

Why is a probability tree diagram used? - Answer-To show multiple variables according
to stages (the order that they happen)

What is written on each segment in a probability tree? - Answer-A conditional probability

What probability is at the end of the branch on a probability tree? - Answer-The product
of the probabilities of the segments of that branch

What are all ultimate outcomes of probability tree? - Answer-Disjoint outcomes, non-
overlapping

"Sensitivity" (HIV example) - Answer-P(T+| HIV+)

"Specificity" (HIV example) - Answer-P(T- | HIV-)

Positive result (HIV example) - Answer-P(T+) = true positive + false positive

Positive predictive value (PPV) - Answer-P(True positive | T+)

How can PPV be improved? - Answer-If disease prevalence rate is higher

Population mean E(X) - Answer-µ(x) = sum[xi * P(X = xi)]

Population variance Var(X) - Answer-σ^2(x) = sum[(xi-µ)^2 * P(X = xi)]

Population standard deviation - Answer-σ(x) = sqrt(σ^2(x))

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