Question

John, Dominique, Marco, and Roberto work for a publishing company. The company wants to send two employees to a statistics conference. To be fair, the company decides that the two individuals who get to attend will have their names randomly drawn from a hat. (a) Determine the sample space of the experiment. That is, list all possible simple random samples of size n=2. (b) What is the probability that John and Dominique attend the conference? (c) What is the probability that Roberto attends the conference? (d) What is the probability that John stays home? (a) Choose the correct answer below. Note that each person is represented by the first letter in their name. O A. JD, JM, JR, DM, DR, MR, JJ, DD, MM, RR OB. JD, JM, JR, DM, DR, MR O C. JD, JM, JR D. JD, JM, JR, DM, DR, MR, DJ, MJ, RJ, MD, RD, RM

Answer 1

John J, Dominique D, ¥ let Marco M, Roberto R. Tovo them selected random for the conference. (9) The Sample Space of experiment ） { JO, JM, JR, DM, DR, MR? N{JD} P (J and D) 6 1 6 N&JR, MR, DR} P(R3 6 3. 6 / N{DM, DR, MR} P (J) - P. P(DUMUR) 6. 0 3 6 2