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The probability density function of a continuous random variable distributed uniformly between x and y (for y > x) is

1. 1/(x - y)
2. 1/(y - x)
3. x - y
4. y - x

Correct answer: 1/(y - x)

Solution

The probability density function for a uniform distribution is defined as the reciprocal of the range of the distribution, which is (y - x). This ensures that the total area under the density function equals 1, satisfying the properties of a probability distribution.

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