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Question 1: What is the Expectation of a 6-sided die roll?
3.5
2.5
5.5
4.5
Question 2: What is the Variance of a 6-sided die roll?
5/12
35/12
15/12
25/12
Question 3: What is the expectation of a n-sided die roll?
(n-1)/2
n
(n+1)/2
n/2
Question 4: What is the variance of a n-sided die roll?
(n^2-1)/12
(n^2-1)/6
(n^2+1)/6
(n^2+1)/12
Question 5: What is the expectation of a normal function with parameters var=0, $\mu=1$
-1
2
0
1
Question 6: What is the covariance of two independent variables?
var(X)*var(Y)
E[XY]
1
0
Question 7: What does the Central Limit Theorem state?
Standard deviation is always 1
Variance equals mean
All distributions are normal
The mean of sample means equals the population mean
Question 8: What is the formula for standard deviation?
variance/2
√(variance)
mean²
mean/2
Question 9: What is P(A|B)?
P(A)*P(B)
P(B)/P(A)
P(A)+P(B)
P(A∩B)/P(B)
Question 10: What is the expected value of a uniform distribution on [a,b]?
(b-a)/2
(a+b)/2
b-a
a
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