A student forgot to prepare for a quiz. There are three True/False questions in that quiz. The student decide to flip a coin and randomly give an answer to each question. Head for True and tail for False. This is a fair coin, so the probability to flip a head is 0.5. Suppose we use X to denote the number of True/False questions this student answered correctly. 1. What type of variable is X? a) A discrete random variable b) A continuous random variable c) A normal random variable 2, . What's the probability that the student got all three questions correct? a) (0.5)(0.5)(0.5) b) 3(0.5)(0.5)(0.5) c) 0.5 3. What's the probability that the student only got one of the three questions correct? a) 3(0.5)(0.5)(0.5) b) (0.5)(0.5)(0.5) c) (0.5)(0.5) d) 0.5 4. What's the expected value of X? a) 3(0.5) b) 2 c) 1 d) 3 5. If the True or False questions worth 2 points each, what's the expected points earned by this student from those three True or False questions? a) 3 b) 6 c) 2 d) 0.5
A student forgot to prepare for a quiz. There are three True/False questions in that quiz. The student decide to flip a coin and randomly give an answer to each question. Head for True and tail for False. This is a fair coin, so the
Suppose we use X to denote the number of True/False questions this student answered correctly.
1. What type of variable is X?
a) A discrete random variable
b) A continuous random variable
c) A normal random variable
2, . What's the probability that the student got all three questions correct?
a) (0.5)(0.5)(0.5)
b) 3(0.5)(0.5)(0.5)
c) 0.5
3. What's the probability that the student only got one of the three questions correct?
a) 3(0.5)(0.5)(0.5)
b) (0.5)(0.5)(0.5)
c) (0.5)(0.5)
d) 0.5
4. What's the
a) 3(0.5)
b) 2
c) 1
d) 3
5. If the True or False questions worth 2 points each, what's the expected points earned by this student from those three True or False questions?
a) 3
b) 6
c) 2
d) 0.5
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