ENTREPRENEURIAL OPERATIONS
TIME MANAGEMENT
Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
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True
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False
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Either A or B
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None of the above
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Detailed explanation-1: -A characteristic function is uniformly continuous on the entire space. It is non-vanishing in a region around zero: (0) = 1. It is bounded: |(t)| ≤ 1. It is Hermitian: (−t) = (t). In particular, the characteristic function of a symmetric (around the origin) random variable is real-valued and even.
Detailed explanation-2: -A random variable is a variable whose value is unknown or a function that assigns values to each of an experiment’s outcomes. A random variable can be either discrete (having specific values) or continuous (any value in a continuous range).
Detailed explanation-3: -The characteristic function (cf) is a complex function that completely characterizes the distribution of a random variable.
Detailed explanation-4: -The characteristic function is a uniformly continuous function from the real line to the unit disk. In the case of the “constant” random variable Ha that takes the value a with probability 1, the characteristic function is exp(at √ −1).