Researchers at the Louisiana State University Center for Energy Studies gathered

Question

Researchers at the Louisiana State University Center for Energy Studies gathered data on both active and inactive oil and gas structures in the Gulf of Mexico. They discovered that the gulf had 2175 active and 1227 inactive structures at the end of 2003. The following table breaks down these structures by type (caisson, well protector, or fixed platform).

              Caisson   Well Protector   Fixed Platform   Totals
Active          503          225               1447                2175
Inactive       598          177                 450                 1225

a. List the simple events for this experiment.
b. Assign reasonable probabilities to the simple events.
c. Find the probability that the structure is active.
d. Find the probability that the structure is a well protector.
e. Find the probability that the structure is an active caisson.
f. Find the probability that the structure is either inactive or a fixed platform.
g. Find the probability that the structure is not a caisson.

Explanation / Answer

A: a simple event is the subset of the set of possible outcomes containing only 1 outcome....in this case.. being active or inactive or being one of caisson,well protector or fixed platform.. B: The probability to being inactive would be.... (no. of inactive)/(Total outcomes) i.e. (598+177+450)/3400 similarly others... C: (No. of active structures)/(No. of active structures+No. of inactive structures) i.e. 1225/3400 D: (Total no. of well protector)/Total i.e. (225+177)/3400 E: 503/3400 as in A F: (inactive caisson+inactive well protector)/3400 i.e. (598+177)/3400 G: Add all other except caisson i.e. (225+177+1447+450)/3400

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