Mathematics · Probability Distributions
The cumulative distribution function F(x) of a continuous random variable X has a constant slope equal to 1 for x in the interval [0, 1]. Which of the following defines its probability density function f(x) on [0, 1]?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1It is equal to zero in [0, 1]
- 2It is linearly decreasing in [0, 1]
- 3It is linearly increasing in [0, 1]
- 4It is constant and equal to 1 in [0, 1]✓
Correct answer
It is constant and equal to 1 in [0, 1]
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