What is the probability that the shut-in time for the semi-submersible pump is between 290 hours and 330 hours?

INSTRUCTIONS TO CANDIDATES

ANSWER ALL QUESTIONS

GEOSTATISTICS HOMEWORK

Suppose that drilling exploration wells can be regarded as a binomial experiment. We follow the general statistics of probability of successful drilling of 20% for a single trial. If we drill a total of five wells,

1. What is the probability of obtaining at least three oil/gas producers?

2. What is the probability of obtaining less than two producers?

PROBLEM # 2

The number of faults per unit area in a major oil field in the Middle East follows a Poisson distribution, with an average of 3 faults/km2.

1. What is the probability of hitting 1 fault/ km2 ?

2. What is the probability of hitting at most 1 fault/ km2?

3. What is the probability of hitting at least 2 fault/ km2?

4. What is the probability of hitting 3 faults/ 2 km2?

PROBLEM # 3

The time required to plug a semi-submersible pump with inorganic scale, and shut it down (in a particular oil field) is uniformly distributed between 250 hours and 350 hours. Assuming an oil company has just ordered a semi-submersible pump.

a. What is the probability that the shut-in time for the semi-submersible pump is less than 290 hours?

b. What is the probability that the shut-in time for the semi-submersible pump is between 290 hours and 330 hours?

c. What percentage of shut-down operations will be within 310 hours?

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