The average resident of Metro City produces 630 pounds of solid waste each year, and the standard deviation is approximately 70 pounds. Use Chebyshev's theorem to find the weight range that contains at least of all residents' annual garbage weights.

Respuesta :

The weight range that contains at least 75% of all residents' annual garbage goes between 420 pounds and 787.5 pounds.

Averages

Given that the average resident of Metro City produces 630 pounds of solid waste each year, and the standard deviation is approximately 70 pounds, to determine the weight range that contains at least 75% of all residents' annual garbage weights, the following calculation must be performed:

  • 630 - 70 = 560
  • 630 + 70 = 700
  • 560 x 0.75 = 420
  • 630 x 1.25 = 787.5

Therefore, the weight range that contains at least 75% of all residents' annual garbage goes between 420 pounds and 787.5 pounds.

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