A committee of 2 people is to be selected at random from 5 executives, Alam, Bartolini, Chinn, Dickson, and Ellsberg. Write out the sample space S, choosing an S with equally likely outcomes, if possible. Then give the value of n(S) and tell whether the outcomes in S are equally likely. Finally, write the indicated events below in set notation. a. Dickson is on the committee b. Alam and Chinn are not both on the committee. c. Both Bartolini and Chinn are on the committee. What is the sample space? Use the first initial of each executive to write the events. O A. S= {A, B, C, D, E} O B. S= {AB, AC, AE, BC, BE, CE) O C. S = {BA, BD, BE, CA, CD, CE, BC} O D. S = {AB, AC, AD, AE, BC, BD, BE, CD, CE, DE} The value of n(S) is. Are the outcomes equally likely? O No O Yes a. Write the event Dickson is on the committee. O A. {AB, AC, AE, BC, BE, CE} O B. {D} O C. {AB, AC, AD, AE, BC, BD, BE, CD, CE, DE} O D. {DA, DB, DC, DE} b. Write the event Alam and Chinn are not both on the committee. O A. {AB, AC, AD, AE, BC, BD, BE, CD, CE, DE} O B. {B, D, E} O C. (BD, BE, DE} O D. {BD, BE, DE, AB, AD, AE, CB, CD, CE} c. Write the event both Bartolini and Chinn are on the committee. O A. {BC} O B. {B, C} O C. {BA, BD, BE, CA, CD, CE, BC} O D. {BA, BD, BE, CA, CD, CE}