A Statistics Class Conducts a Chance Experiment in Which They

question 22

Essay

A statistics class conducts a chance experiment in which they observe students who buy a snack and the school vending machines. The type of food (Liquid, or Solid) is noted, as well as the number of calories of fat content (25, 50, or 75).
a) Display the possible outcomes using a tree diagram.
b) Let L be the event that the item is liquid and B be the event that the item has fewer than 75 calories of fat.
i) What outcomes are in B^C?
ii) What outcomes are in ?
iii) What outcomes are in ?

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Definitions:

Marginal Social Benefit

The additional benefit to society resulting from the production or consumption of one more unit of a good or service.

Pollution

The contamination of the natural environment by harmful substances or energies, often resulting from human activities.

Efficient

The condition in which resources are allocated in a way that maximizes the net benefit to society or achieves an optimal outcome where no one can be made better off without making someone else worse off.

Beneficiaries

Individuals or groups that receive benefits or advantages from something, especially from a trust, insurance policy, or will.