MIG: Mathematics Of Industry and Government

Mathematics Of Industry and Government

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MIG.ARDDMMIG.ARDDMMIG.ARDDMaAbstract Reasoning & Deterministic Decision-Making – Linear ProgrammingMIG.ARDDMbAbstract Reasoning & Deterministic Decision-Making – Optimal LocationsMIG.ARDDMcAbstract Reasoning & Deterministic Decision-Making – Optimal PathsMIG.ARPDMMIG.ARPDMMIG.ARPDMaAbstract Reasoning & Probabilistic Decision-Making – Normal DistributionsMIG.ARPDMbAbstract Reasoning & Probabilistic Decision-Making – Binomial, Geometric, and Poisson DistributionsMIG.ARPDMcAbstract Reasoning & Probabilistic Decision-Making – SimulationsMIG.ARPDMdAbstract Reasoning & Probabilistic Decision-Making – Fair RepresentationMIG.MMMathematical ModelingMIG.PRProbabilistic Reasoning – Probabilistic Models
Example Problems
Yvonne joins a fishing contest. She tracks how many fish each competitor catches in a fixed four-hour window.

Across
200 competitors:
Fish caught012345
Frequency60523828?12
Probability0.30.260.190.140.050.06


Fill in the missing information to complete the probability distribution.
Do not round your answers.
The delivery time (in days) for a regional courier is normally distributed with a mean of and a standard deviation of . Let = the delivery time for a randomly selected package.

Find
.
Round your answer to
two decimal places.
The lifespans of foxes in a particular zoo are normally distributed. The average fox lives 11.2 years; the standard deviation is 2.8 years.

Use the
empirical rule () to estimate the probability of a fox living less than 19.6 years.
Goblins

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