1. What is the Central Limit Theorem? Try to state it in your own words. 2. Consider the random variable x, where x is the number of dots after rolling a die. Make a sketch of the probability distribution of this variable. What is the expected value of x? 3. Now consider the random variable that is the average number of dots after four rolls. Is this variable normally distributed? Explain. 4. Suppose we changed the definition to the average number of dots after forty rolls. Would this variable be normally distributed? Explain