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The blood platelet counts of a group of women have a​ bell-shaped distribution with a mean of 258.6 and a standard deviation of 65.3. ​(All units are 1000 ​cells/mu​L.) Using the empirical​ rule, find each approximate percentage below. What is the approximate percentage of women with platelet counts within 3 standard deviations of the​ mean, or between 62.7 and 454.5​

Respuesta :

Using the Empirical Rule, it is found that 99.7% of the women have platelet counts within 3 standard deviations of the mean.

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The Empirical Rule states that:

  • Approximately 68% of the measures are within 1 standard deviation of the mean.
  • Approximately 95% of the measures are within 2 standard deviations of the mean.
  • Approximately 99.7% of the measures are within 3 standard deviations of the mean.

The problem asks the percentage within 3 standard deviations, which is 99.7%.

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