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Q3Section I (Objective (Q1–Q80))3 of 80

Distribution Theory — variance, order statistics and memorylessness for exponential

If X∼exp⁡(θ)X \sim \exp(\theta), then consider the following statements: 1. Variance >> Mean if 0<θ<10 < \theta < 1. 2. Minimum order statistic is chi-square distribution. 3. Lack of memory property exists only if θ>1\theta > 1. Which of the statements given above is/are correct?

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