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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 less than 64 kg.

  • A. 5
  • B. 11
  • C. 15
  • D. 20
Correct Answer: B

Rationale: Z-score: (64-70)/3 = -2. P(Z < -2) = 1 - P(Z ≤ 2). Using standard tables, P(Z ≤ 2) ≈ 0.9772, so P(Z < -2) = 1 - 0.9772 = 0.0228 (document says 0.02128, likely a typo). Then, 0.0228 * 500 ≈ 11, matching the document.