P.S-MD.A.4

Develop a probability distribution for a random variable defined for a sample space in which probabilities are assigned empirically. Find the expected value. For example, find a current data distribution on the number of TV sets per household in the United States, and calculate the expected number of sets per household. How many TV sets would you expect to find in 100 randomly selected households?

Example Problems
An animal‑shelter manager tracks daily adoptions.
Let
= the number of animals adopted in one day.
A = # adopted01234
Probability0.150.350.300.150.05


Find the
mean of .
Meteorologists count monthly severe‑storm warnings in a region.
Let
= the number of warnings in a month.
W = warnings0123
Probability0.500.300.150.05


Calculate the
expected value of .
In a family board game, landing on a special square changes a player's money by an amount G shown below.
Outcome-$10$0$20
Probability0.200.500.30


Find the
expected value of G.
Goblins

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