(A) What Are the Appropriate Probability Distributions to Model the Number

question 63

Essay

(A) What are the appropriate probability distributions to model the number of faculty members showing up in each lot?
(B) Given the current situation, estimate the probability that on a peak day, at least one faculty member with a sticker will be unable to find a parking space. Assume that the number who shows up at each lot is independent of the number who shows up at the other two lots.
(C) Suppose that faculty members are allowed to park in any lot. Does this help solve the problem? Why or why not?
(D) Suppose that the numbers of faculty who show up at the three lots are correlated, with each correlation equal to 0.80. Does your answer to (C) change? Why or why not?

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Sport Utility Vehicles; a category of motor vehicles that combine elements of road-going passenger cars with features from off-road vehicles, such as raised ground clearance and four-wheel drive.

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The ability of a country, individual, company, or region to produce a good or service at a lower opportunity cost than competitors.

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A naturally occurring, flammable liquid consisting of a complex mixture of hydrocarbons and other organic compounds, used primarily as fuel and in the production of various chemicals.

Crude Oil

A naturally occurring, unrefined petroleum product composed of hydrocarbon deposits and other organic materials, used as a fuel and raw material in chemical industries.