Consider a box with 5 tickets, numbered from 1 to 5. We will draw 200 times with

replacement from this box.

(a) The expected value of the sum of draws is ___________ and the standard error is

___________.

(b) Modify the box model to keep track of the number of odd numbers out of the 200 draws. Include the values on the tickets, the number of repeats of each ticket, and how many draws we will make with replacement from the box.

(c) The average of the box in (b) is ___________, and the SD is ___________.

(d) The expected value of the number of odd numbers out of the 200 draws is ___________, and the standard error is ___________.