Assume there are 3 types of squirrels in the world (red, black, grey). Assume 40% of...

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Assume there are 3 types of squirrels in the world (red, black, grey). Assume 40% of squirrels are black, 40% of squirrels are grey and 20% are red. Assume 3% of red squirrels are in Ontario, 2% of black squirrels are in Ontario and 3% of grey squirrels are in Ontario. 1. Sketch the tree diagram showing the marginal probabilities for squirrel colour, conditional probabilities for squirrels being in Ontario vs. outside of Ontario and the corresponding joint probabilities. 2. Solve for the marginal probability of a squirrel being outside of Ontario. 3. You set a trap in your Ontario backyard and randomly catch a squirrel. Solve for the probability its a red squirrel. Assume there are 3 types of squirrels in the world (red, black, grey). Assume 40% of squirrels are black, 40% of squirrels are grey and 20% are red. Assume 3% of red squirrels are in Ontario, 2% of black squirrels are in Ontario and 3% of grey squirrels are in Ontario. 1. Sketch the tree diagram showing the marginal probabilities for squirrel colour, conditional probabilities for squirrels being in Ontario vs. outside of Ontario and the corresponding joint probabilities. 2. Solve for the marginal probability of a squirrel being outside of Ontario. 3. You set a trap in your Ontario backyard and randomly catch a squirrel. Solve for the probability its a red squirrel.