Test exact independence
A finite sample space S contains 10 inspection records. One outcome is selected uniformly, so all individual outcomes are equally likely
Use the notation \(\Pr(A)\), \(\Pr(B)\) and \(\Pr(A\cap B)\)
Event A is the condition that the outcome has a code beginning with X; event B is the condition that the outcome belongs to the first batch
The finite sample space is listed below. The events are subsets of S
\[S = \{1, 2, 3, 4, 5, 6, 7, 8, 9, 10\}\]
\[A = \{1, 2, 3, 4, 5\}\]
\[B = \{1, 6, 7, 8\}\]
Are events A and B independent? Support the classification with the displayed values