Digital data from a sensor can fill 0 to 32 buffers. Let the sample space be S = {0, 1, 2, …, 32}, where j means j buffers are full, and p(i) = (33 − i)/561. Let A be the event that an even number of buffers are full. Then p(A) is

1. A0.515
2. B0.785
3. C0.758
4. D0.485 ¬∃xQ(x)

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Correct answer: A. 0.515

Explanation

For even i, 33 − i runs 33, 31, …, 1: the 17 odd numbers summing to 17² = 289. p(A) = 289/561 ≈ 0.515.