A bag had three red marbles and three blue marbles in it. You draw a marble out, replace it, and repeat until you have drawn a marble four times. Find the probability of drawing two red marbles and two blue marbles, in any order.  Round the answer to three decimal places.  

A radio disc jockey has a playlist of 6 rock songs and 5 rap songs.  How many different playlists are possible if the rap songs must be played consecutively? 

Find the Banzhaf Power Index of the voter with weight 3.  The test will take an answer within 0.01.  

What is Lincoln’s Huntington-Hill number?  The test will take an answer within 1.

How many license plates are possible if letters cannot repeat (but digits can)?

Find the standard divisor to two decimal places.  The test will take an answer within 0.01

You roll two two six-sided dice (2d6) and calculate the sum of the upward-showing faces.

Using Jefferson’s method to appropriate the 15 teachers, how many teachers will Washington get?  

The following is the preference schedule for a recent election between candidates A, B, and C. A 3 1 2 2 B 2 3 3 1 C 1 2 1 3 NUMBER OF VOTERS 5 11 9 13  

Question 1h: The authors note several limitations of their study. One of them is that they were limited to using only variables that were recorded in the THIN medical database that they used for their analyses. As such, prescriptions that individuals received “out-of-system” would not have been captured in the database. What is the type of bias that we would be concerned about due to this? Briefly explain your reasoning (1-2 sentences).