Question

Roberto, John, Dominique, and Marco 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 Roberto and John attend the conference? (c) What is the probability that Dominique attends the conference? (d) What is the probability that Marco stay home? (a) Choose the correct answer below. Note that each person is represented by the first letter in their name O A RJ, RD, RM OB. RJ, RD, RM, JD, JM, DM, JR, DR. MR, DJ, MJ, MD OC. RJ, RD, RM, JO, JM, DM OD. RJ, RD, RM, JO, JM, DM, RR, JJ, DO, MM (b) The probability that Roberto and John attend the conference is (Round to one decimal place as needed) (e) The probability that Dominique attends the conference (Round to one decimal place as needed) (d) The probability that Marco stays home is (Round to one decimal place as needed)

Answer 1

Solection: Since it is a pearson We are to select 2 / in (a) There are 4 people namely Roberto (R), John (1), Dominique (D) and Mareo (M)! simple random has equal probability of the of being selected. Sampling, each (9) - 6 coays as order doesn't matter. people from 4, hence it can be done therefore sample space = {RJ, RD, RM, ID, JM, DM] Coption e is correet) (b) Probability that Roberto and John attend the conference is equivalent to choose fri} from the sample space hence required prob. - % = 0.2 (after rounded off) (e) Probability that Dominique attend the conference Poo (choosing {RD? or { JO} {Dm} att + 1 = 2 or = 0.5 (d) Probability that Mareo stays home 1 - Poob.(mareo attend the conference 1- Prob (choosing {RM} or { JM} or {Dm} - 1-66+++) - )=0-5. - - x -