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Competitive Stats
Q6Section I (Objective (Q1–Q80))6 of 80

Distribution Theory — checking four probabilities under a uniform density

The pdf of a random variable X is given by f(x)=0.2f(x) = 0.2, 0≤x≤50 \le x \le 5; 00, otherwise. Consider the following probabilities: 1. P(2≤X≤3)=0.2P(2 \le X \le 3) = 0.2 2. P(X>3.5)=0.3P(X > 3.5) = 0.3 3. P(∣x∣≥2)=0.6P(|x| \ge 2) = 0.6 4. P(X<4)=0.8P(X < 4) = 0.8 How many of the probabilities given above are correct?

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