3. Suppose each person in a large statistics class (enrollment 1000 students) rolls a die 60 times and counts the number of times they roll an ace (one dot). (a) For each person, the total number of aces they roll corresponds to the sum draws from a box containing tickets of various types. Write down all the elements of the box model. (b) The expected value for the number of aces after 60 rolls is standard error is , and the (c) If it is appropriate to use the normal approximation for what you think a histogram of the class's values would look like, explain why and make a sketch of it, including numbers on your horizontal axis to indicate center and spread. If it is not appropriate, state exactly what would have to change in this problem for it to be appropriate