Question 3: You are tossing a fair six-sided die 50 times and record the value t

Question

Question 3: You are tossing a fair six-sided die 50 times and record the value that you observe after it has been rolled. Use this information and answer Questions 3a and 3b. Question 3a: What is the distribution of the value that you record each observation? 1. X-DU(1,6) 2. X-U(1,6) 3·X-N(3.5, 35/50) (it was 35/15) 4. X-N(3.5, 35/600) (it was 35/180) Question 3b: After tossing the die 50 times, you compute the average of the observed rolls. What is the distribution of the average of the rolls? 1. X-DU(1,6) 3·X-N(3.5,35/50) (it was 35/15) 4. X-N(3.5, 35/600) (it was 35/180)

Explanation / Answer

1. Correct answer is 2. because for a single roll, uniform distribution will be followed

2. Correct answer is 4. because for 50 rolls, we can approximate this to a normal distribution with mean=n*p=50*(1/6)= 3.5 and variance=n*p*(1-p)=50*(1/6)*(5/6)=35/600

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