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The mean weight of 500 college students is 70 kg and the standard deviation is 3 kg. Assuming that the weight is normally distributed, determine how many students weigh 64 kg or less.
- A. 5
- B. 11
- C. 15
- D. 20
Correct Answer: B
Rationale: P(X ≤ 64) equals P(X < 64) in a continuous distribution since P(X=64) = 0. From the previous calculation, P(Z < -2) ≈ 0.0228, so 0.0228 * 500 ≈ 11, consistent with the document.
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