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Normal Probability: Weights of Pumpkins

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John's Colorado farm grows some of the finest pumpkins around. Assume weights of pumpkins follow the normal probability distribution with a population weight of 16.0 lbs with a standard deviation of 3.65 lbs. Use Appendix D (posted with statistical tables in the course materials forum) or standard normal probability distribution to answer the following questions:

What proportion of pumpkins weigh between 14.5 lbs. And 16.0 lbs.?
What proportion of pumpkins weigh between 17.0 lbs. And 22.0 lbs. ?
What proportion of pumpkins weigh less than 12.0 lbs?
What proportion of pumpkins weigh more than 25 lbs.?
Five percent of the pumpkins weigh how much or less?

The response must be in Excel format.

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The solution provides step-by-step method for the calculation of probability using the Z score. Formula for the calculation and Interpretations of the results are also included.

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