Question

a probability experiment is conducted in which the sample space of the experiment is s = {7,8,9,10,11,12,13,14,15,16,17,18}. let event e = {8,9,10,11,12,13} and event f = {12,13,14,15}. list the outcomes in e and f. are e and f mutually exclusive? list the outcomes in e and f. select the correct choice below and, if necessary, fill in the answer box to complete your choice. a. {12,13} (use a comma to separate answers as needed.) b. {} are e and f mutually exclusive? a. yes. e and f have outcomes in common. b. no. e and f have no outcomes in common. c. no. e and f have outcomes in common. d. yes. e and f have no outcomes in common.

Explanation:

Step1: Find intersection of E and F

Intersection of E = {8,9,10,11,12,13} and F = {12,13,14,15} is the set of elements common to both. So, E ∩ F = {12,13}.

Step2: Determine mutual - exclusivity

Two events are mutually exclusive if their intersection is an empty set. Since E ∩ F = {12,13} (not an empty set), E and F are not mutually exclusive.

Answer:

List the outcomes in E and F: A. {12,13}
Are E and F mutually exclusive? C. No. E and F have outcomes in common.