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eduard
3 years ago
14

An oil prospector will drill a succession of holes in a given area until he finds productive wells. The probability that he is s

uccessful on a given trial is 0.3. The prospector can only afford to drill 6 wells.
What is the probability the inspector fails to Önd r productive wells?
Mathematics
1 answer:
Leya [2.2K]3 years ago
3 0

Answer:

0.117649

Step-by-step explanation:

The probability that the prospectors will not find a productive oil.

This is a binomial distribution problem

Binomial distribution function is represented by

P(X = x) = ⁿCₓ pˣ qⁿ⁻ˣ

n = total number of sample spaces = 6 oil wells available to be dug

x = Number of successes required = 0

p = probability of success = 0.3

q = probability of failure = 1 - p = 0.7

P(X = 0) = ⁶C₀ 0.3⁰ 0.7⁶⁻⁰ = (1)(1)(0.7⁶) = 0.117649

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