Exploration studies are conducted in 20 different locations seeking oil fields in Oman. From a retrospective study it has been found that the possibility of a location to truly have an oil field is 30%. This low probability is due to the complexity of the geological conditions and their challenges in Oman. As a result, the chance to invest in exploration and getting no oil fields is 70%. Determine the probability that at least 3 locations will truly have oil fields? Select one: O a.0.10 O b.o.03 C.0.30 O d.o.97

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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Exploration studies are conducted in 20 different locations seeking oil fields in Oman. From a retrospective study it has been
found that the possibility of a location to truly have an oil field is 30%. This low probability is due to the complexity of the
geological conditions and their challenges in Oman. As a result, the chance to invest in exploration and getting no oil fields
is 70%. Determine the probability that at least 3 locations will truly have oil fields?
Select one:
O a.0.10
O b.o.03
C.0.30
O d.o.97
Transcribed Image Text:Exploration studies are conducted in 20 different locations seeking oil fields in Oman. From a retrospective study it has been found that the possibility of a location to truly have an oil field is 30%. This low probability is due to the complexity of the geological conditions and their challenges in Oman. As a result, the chance to invest in exploration and getting no oil fields is 70%. Determine the probability that at least 3 locations will truly have oil fields? Select one: O a.0.10 O b.o.03 C.0.30 O d.o.97
Expert Solution
Step 1

It is given that the study conducted on 20 different locations. The possibility of a location to truly have an oil field is 30%.

Step 2

Let the random variable X is the number of locations truly have oil field.

The random variable X follows Binomial distribution with n as 20 and p as 0.30.

Calculations:

Calculate the probability that at least 3 locations will truly have oil fields is as follows:

Probability homework question answer, step 2, image 1

Therefore, the probability that at least 3 locations will truly have oil fields is 0.97.

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