Answer:
Proved
Step-by-step explanation:
See attachment for the given parameters.
Required
Prove that turkey sandwiches and 9-grain wheat are independent events
From the attachment, we have:
[tex]P(T) = 23.6\%[/tex]
[tex]P(W) = 51.7\%[/tex]
The intersection between both is:
[tex]W\ and\ T = 36[/tex]
So:
[tex]P(W\ and\ T) = \frac{36}{300}[/tex]
[tex]P(W\ and\ T) = 0.12[/tex]
[tex]P(W\ and\ T) = 12\%[/tex]
For both events to be independent, the following must be true.
[tex]P(W\ and\ T) = P(W) * P(T)[/tex]
[tex]P(W\ and\ T) = 23.6\% * 51.7\%[/tex]
[tex]P(W\ and\ T) = 12.2\%[/tex]
The calculated values of P(W and T) are estimates
[tex]12.2\% \approx 12\%[/tex]
Hence, both events are independent
