Mathematics · Probability Distributions
Which of the following statements is true regarding uniform, normal, and exponential distributions?
- 1If X is exponential with mean 1, then e -X is uniform (0, 1).
- 2If X 1 and X 2 are standard normal, then (X 1 + X 2 )/√2 is standard normal.
- 3If X is uniform (0, n), then X/n is uniform (0, 1).✓
- 4If X 1 and X 2 are independent uniform (0, 1) random variables, then X 1 + X 2 is uniform (0, 2).
Correct answer
If X is uniform (0, n), then X/n is uniform (0, 1).
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