Question

A. Use the formula to verify that turkey sandwiches and 9-grain wheat are

independent events. Show your work or explain how you found your

answer.

Answer 1

Proved

Explanation:

See attachment for the given parameters.

Required

Prove that turkey sandwiches and 9-grain wheat are independent events

From the attachment, we have:

`P(T) = 23.6\%`

`P(W) = 51.7\%`

The intersection between both is:

`W\ and\ T = 36`

So:

`P(W\ and\ T) = (36)/(300)`

`P(W\ and\ T) = 0.12`

`P(W\ and\ T) = 12\%`

For both events to be independent, the following must be true.

`P(W\ and\ T) = P(W) * P(T)`

`P(W\ and\ T) = 23.6\% * 51.7\%`

`P(W\ and\ T) = 12.2\%`

The calculated values of P(W and T) are estimates

`12.2\% \approx 12\%`

Hence, both events are independent