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Q. A study was conducted of the Gouldian finch which lives in North Australia. Each bird...

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Basic Math

Q. A study was conducted of the Gouldian finchwhich lives in North Australia. Each bird observed was classifiedaccording to "Face Color" and "Bill colour" and the results are inthe following table.

Black facered faceyellow face
black bill1656
red bill19206
yellow bill182222

1) Reproduce the table with marginal and grand totals.

2) Estimate the proportion of the Gouldian finch populationwith:
-> Yellow face and a yellow bill
-> Yellow face OR a yellow bill
-> the same face and bill

3) Determine the probability that an individual Finch has:
a) A yellow face
b) a yellow face, given that it has a red bill

4) A member of the study observerd: "Clearly face color and Billcolor are NOT independent ". Say if you agree or disagree with thiswith justification by using probabilities from above.

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