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Suppose xx Is a Random Variable Best Described by a Uniform Probability

question 67

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Suppose xx is a random variable best described by a uniform probability distribution with c=2c = 2 and d=10d = 10 . Find the value of a that makes the following probability statement true: P(2.5xa) =0.5P ( 2.5 \leq x \leq a ) = 0.5 .

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Definitions:

Independent Rationalization

The process of reasoning or making decisions based on one's own logical analysis, independent of external influences or pressures.

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denotes a component of authentic leadership, where leaders' decisions are guided by their internal moral standards and values.

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The conscious knowledge of one's own character, feelings, motives, and desires, which is crucial for personal development and effective leadership.

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A leadership style where the leader works with teams to identify needed change, creating a vision to guide the change through inspiration, and executing the change in tandem with committed members of the group.

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