Probability and Statistical Inference 2024 Question and Answers Final Exam
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Course
Probability and Statistical Inference
Institution
Probability And Statistical Inference
Probability and Statistical Inference 2024 Question and
Answers Final Exam
What is the probability of picking 3 queens in a row from a deck of 52 cards. Order is noted
and cards are not replaced
Counting problem. (432)/(525150)
The probability that a WWU student pulls an all-nighter on a gi...
Probability and Statistical Inference 2024 Question and
Answers Final Exam
What is the probability of picking 3 queens in a row from a deck of 52 cards. Order is noted
and cards are not replaced
Counting problem. (432)/(525150)
The probability that a WWU student pulls an all-nighter on a given day is 30%. Let X = the
number of students out of 12 who pull an all-nighter tonight. Assuming that students
"independently" choose to pull all-nighters:
What is P(X=4):
(12CX)(.3^x)(1-.3)^(12-x) = .231
The probability that a WWU student pulls an all-nighter on a given day is 30%. Let X = the
number of students out of 12 who pull an all-nighter tonight. Assuming that students
"independently" choose to pull all-nighters:
What is the expected value of the associated distribution:
NP = 3.6
IF the number of spelling errors per page is know to be Poisson(2), then:
What is the probability that there are no mistakes on one page:
e^-2 * 2^! = .135
,IF the number of spelling errors per page is know to be Poisson(2), then:
What is the probability that there are at least 2 mistakes on 3 pages
SO inf E x=2 (e^-6 * 6^x) / X!
You are told that the following function is a pmf:
f(x) = cx
where outcome space is x=1,2.
Find c
(1)C + 2C = 1 (all outcome spaces most add up to 1)
3C= 1
, c = 1/3
You are told that the following function is a pmf:
f(x) = cx
where outcome space is x=1,2.
What is the expected value of the pmf:
1/3 1 + 1/32^2 = 5/3
Give the probability of randomly selecting the point 1.8 from the interval [1,2] if each point is
equally likely:
0
Give the definition of mutually exclusive events
IF A union B = Null set
Give an example of 2 complementary events
Raining / not raining
Give an example of a random experiment with a discrete outcome space
rolling a 6 sided die 4 times and counting how many times 1 was rolled
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