For a continuous uniform distribution on the interval from 0 to 5, probability is proportional to interval length. The total interval length is 5 − 0 = 5. The event X < 3 corresponds to the interval from 0 to 3, which has length 3. Therefore, P(X < 3) = 3/5 = 0.6. This works because the uniform distribution assigns constant density across the entire interval, so any subinterval’s probability equals its length divided by the total length. Option B would correspond to half the interval, such as X < 2.5. Option C would correspond to length 2 out of 5. Option D incorrectly treats the cutoff value 3 as if it were a percentage rather than an interval boundary. The correct answer is 0.6, meaning 60% of the uniform distribution lies below 3. Study Guide references/topics: uniform distribution, continuous probability, interval length, probability density.
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