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4. Suppose the lengths of green beans for a particular farm are Normally distributed with a mean of 10 inches and a standard deviation of

4. Suppose the lengths of green beans for a particular farm are Normally distributed with a mean of 10 inches and a standard deviation of 1.5 inches.

  1. What is the z-score for a green bean that measures 12.3 inches?
  2. What percent of green beans measure between 6.79 inches and 11.8 inches?
  3. What percent of green beans measure more than 7.3 inches?
  4. What length represents the 75th percentile?
  5. The z-score for a particular green bean from this farm is z = 1.34. What does this tell us about the length of this green been?

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