Quizzes: expectation

Question: What is the expected value of a fair six-sided die roll?
A) 2.5
B) 3.5
C) 4.5
D) 5.5

Question: If is a random variable with expected value , what is ?
A) 2
B) 4
C) 6
D) 8

Question: What is the expected value of a constant ?
A) 0
B) c
C) c/2
D)

Question: A random variable takes values 1, 2, and 3 with probabilities 0.2, 0.5, and 0.3, respectively. What is ?
A) 1.5
B) 2.0
C) 2.1
D) 2.5

Question: If is a random variable with and is a random variable with , what is ?
A) 5
B) 7
C) 12
D) 35

Question: If and are independent random variables, what is ?
A)
B)
C)
D)

Question: For any random variable , which of the following is true?
A)
B)
C)
D)