Thousands of college students are attending a political conference and are about to enjoya dinnerbanquet. The...

Thousands of college students are attending a political conference and are about to enjoya dinnerbanquet. The probability a randomly selected student is a Democrat is .70. The probability a randomly selected student is a Republican is .30.Before the banquet, students were asked what they wanted for dinner. Their options were a vegetarian dish, beef, or chicken.Among the Democrat students, the proportion who requested the vegetarian dish was .20, the proportion who requested beef was .30, and the proportion who requested chicken was .50.Among the Republican students, the proportion who requested the vegetarian dish was .10, the proportion who requested beef was .50, and the proportion who requested chicken was .40.Draw a tree diagram and use it to answer these questions:3aIf a student is selected at random, what is the probability they are both a Democrat and requested chicken for dinner?3bIf a student is selected at random, what is the probability they requested the vegetarian dish for dinner?3cGiven that a randomly selected student requested beef for dinner, what is the probability they are a Republican?

Expert Solution

Branch probabilities written in blue are multiplied to get the pink probabilities of nodes(end points).

These pink probabilities represent the chances of ending on that node.

For e.g democrat----->ordering chicken----->will take you to 0.35

branch probabilities those in blue are the probabilities of taking the particular route.

Please upvote If I am able to help you.

Thanks

orchestra answered 2 years ago

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