Basic Exercises suppose that you toss a pair of dice and write down 61 the value

Question

Basic Exercises suppose that you toss a pair of dice and write down 61 the value of the faces from each die. What is the population distribution for one die? Determine the sampling distribution of the sample b. means obtained by tossing two dice. 62 Suppose that you have a fair coin and you label the head side as 1 and the tail side as 0. a. Now, you are asked to flip the coin 2 times and write down the numerical value that results from each toss. Without actually flipping the coin, write down the sampling distribution of the sample means. b. Repeat part (a) with the coin flipped 4 times. c. Repeat part (a) with the coin flipped 10 times.

Explanation / Answer

6.1 a

p(1)=1/6, p(2)=1/6, p(3)=1/6, p(4)=1/6, p(5)=1/6, p(6)=1/6

6.1 b

Total Points Sample x Prob of x

2 (1,1) 1 1/36

3 (1,2),(2,1) 1.5 2/36

4 (1,3),(3,1),(2,2) 2 3/36

5 (1,4),(4,1),(2,3),(3,2) 2.5 4/36

6 (1,5),(5,1),(2,4),(4,2),(3,3) 3 5/36

7 (1,6),(6,1),(2,5),(5,2),(3,4),(4,3) 3.5 6/36

8 (2,6),(6,2),(3,5),(5,3),(4,4) 4 5/36

9 (3,6),(6,3),(4,5),(5,4) 4.5 4/36

10 (4,6),(6,4),(5,5) 5 3/36

11 (5,6),(6,5) 5.5 2/36

12 (6,6) 6 1/36

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