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Probability and statistics Flashcards | StudBud
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Probability and statistics
Probability and statistics
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Questions
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Answers
1
Let X be a continuous random variable. What is the cumulative distribution function (CDF)?
F(x) = P(X≤x)
F(x)=df(X)/dx
F(x) = P(X>x)
F(x) = 1-P(X>x)
2
Negativ exponential distribution: what is correct?
C
A
B
D
3
Is this a probability density function (PDF)?
YES
NO
4
What is correct here?
E(aX+b)=aˆ2E(X)
E(aX+b)=aE(X)+b
E(aX+b)=aE(X)
E(aX+b)=E(X)
5
Have you read Chapter 2 in the book?
No
Which book?
Yes
6
Is this a probability density function (PDF)?
YES
NO
7
Should we have more quizzes?
YES
Don't know
NO
8
Is this a probability density function (PDF)?
NO
YES
9
Extreme values: what is correct? (F(t) = P(X_i≤t), i=1,...,n)
Fmax(t) = 1-(1-F(t))ˆn
Fmin(t) = [F(t)]ˆn
Fmax(t) = [F(t)]ˆn
Fmin(t) = 1-(1-F(t))ˆn
10
What is the sample space Ω of an experiment?
A random set of outcomes
A set of observations of interrest
A set of all possible outcome
11
Is this a probability density function (PDF)?
NO
YES
12
Let P(A) and P(B) be the probability of event A and B, respectively. What is then correct?
P(A∩B)=0
P(A∩B)=P(A∣B)P(B)
P(A∪B)=P(A)+(B)
P(A∪B)=P(A)+(B)-P(A∩B)
13
What is correct?
Var(X)=∫(x-E(X))ˆ2 f(x)dx
Var(X)=E(Xˆ2) - E(X)ˆ2
Var(X)=E(Xˆ2)
14
What is an experiment?
A study where the outcome is random and observable
A study where the outcome is observable
A study of a process
15
Is this a probability density function (PDF)?
YES
NO
16
What is the probability of an event?
The outcome of an experiment
A random sample from Ω
The asymptotic relative frequency
17
What is E(X) (the expected value of a random variable)?
xF(x)
∫F(x)dx
Is the first order moment of the distribution of X
∫xf(x)dx
18
Is this a probability density function (PDF)?
NO
YES
19
Is this a probability density function (PDF)?
YES
NO
20
What is an event?
An outcome of an experiment
A subset of the sample space
A random variable
21
What is the probability density function (PDF)?
f(X)=1-P(X>x)
f(x)=∫F(X)dx
f(x) = dF(X)/dx
