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25 June, 12:39

The guidance system design of a satellite places several components in parallel. The system will function as long as at least one of the components is operational. In a particular satellite, four such components are placed in parallel. Assume that the probability of a component operating successfully is 0.9. Assume that the components operate independently of each other. What distribution describes the components of the guidance system?

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  1. 25 June, 13:12
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    The distribution of the components of the guidance system can be described using the Binomial distribution.

    Step-by-step explanation:

    Suppose that the guidance system consists of n components.

    It is provided that the system will function properly as long as at least one of the n components are functional.

    Also, all the components operate independently of each other.

    The probability that a component is operating successfully is 0.90.

    Every component has the same probability of success and failures.

    Thus, the components of the guidance systems follows a Binomial distribution with parameters, sample size, n and probability of success, p = 0.90.

    A binomial distribution is a discrete probability distribution where each sample has exactly two outcomes; Success and Failure.

    And every sample has the same probability of success.

    Thus, the distribution of the components of the guidance system can be described using the Binomial distribution.
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