Multiple choice general knowledge science & technology

The probability that an electronic device produced by a company does not function properly is equal to 0.1. If 10 devices are bought, then the probability, to the nearest thousandth, that 7 devices function properly is

  1. 0.057

  2. 0.478

  3. 0.001

  4. 0

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A Correct answer
Explanation

This is a binomial probability problem. The probability of a device functioning properly is 1 - 0.1 = 0.9. We need exactly 7 functioning devices out of 10, which follows the binomial formula: C(10,7) × (0.9)^7 × (0.1)^3. Calculating: 120 × 0.4783 × 0.001 ≈ 0.057.