Question

4. Suppose that one die is rolled and you observe the number of dots facing up. The sample space for this experiment is S -(1, 2, 3, 4, 5, 6). The following table provides 5 different potential probability assignments to the possible outcomes Outcome Assignment AssignmentAssignment Assignment Assignment #1 0 16 #5 0.13 0.3 0.1 0.08 0.21 0.18 #2 #3 #4 16 4 4 16 4 0.5 16 6 0.5 a) which of the assignments #1-#5 are legitimate probability assignments? Explain your answers b) Let A die comes up even; B die comes up at least 2; C-die comes up at most 5; D die comes up 1. c) Determine the probability that you observe a die roll which is a multiple of 3. Use each of the legitimate Determine the probability of each of these four events using each of the legitimate probability assignments probability assignments Determine the probability that you observe a prime number on a die roll (note: one is not a prime number). Use each of the legitimate probability assignments If the die is balanced (i.e. fair), which probability assignment would be appropriate? Why? using probability assignment #5 and the events defined in part b) above, find PA n B), P(B n C), P(B U C), P(An D), P(A U C), P(DIB), and P(A U (B n c)) d) e) f)

Answer 1