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8 December, 05:34

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

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  1. 8 December, 05:37
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    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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