Question

Suppose you have an random process X with sample space S = 1, 2,

3, 4, 5, 6, 7, 8, 9. Consider two events A = 1,3,4,6,7 and B =
4,5,6,7,8. Describe the sets corresponding to the events:
(1) E1 = A AND

Answer 1

Event E1, denoted as 'A AND B', represents the intersection of events A and B, which is {4, 6, 7}, the intersection is determined by identifying common elements in both sets. Therefore, E1 = A AND B = {4, 6, 7}.

Step-by-step explanation:

The question pertains to the concept of events within the field of probability in mathematics.

When we have a random process with a sample space S = {1, 2, 3, 4, 5, 6, 7, 8, 9} and two events A = {1, 3, 4, 6, 7} and B = {4, 5, 6, 7, 8}, the event E1, which is 'A AND B', represents the intersection of events A and B.

This means E1 contains all outcomes that are present in both A and B. In set notation, the intersection is determined by identifying common elements in both sets. Therefore, E1 = A AND B = {4, 6, 7}.