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Suppose x\mathrm { x } Is a Random Variable Best Described by a Uniform Probability

question 63

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Suppose x\mathrm { x } is a random variable best described by a uniform probability distribution with c=3\mathrm { c } = 3 and d=7d = 7 . Find the value of a that makes the following probability statement true: P(xa) =0.6P ( x \geq a ) = 0.6 .

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Definitions:

Range

The difference between the maximum and minimum values in a data set, indicating the spread of the data.

Standard Deviation

A metric that calculates the deviation or spread of data points in a dataset from the average value.

Range

The difference between the highest and lowest values in a dataset; it measures the extent of variability within the data.

Skewed

A description of the asymmetry in the probability distribution of a real-valued random variable, where the tail of the distribution is longer on either the right (positively skewed) or the left (negatively skewed) side.

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