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Chicken Eggs by Size

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Chicken eggs are sold according to their size. The chart shows how eggs are classified by their size.

The eggs produced at Jen's Hen Farm and Rick's Chick Farm are normally distributed. The eggs produced at Jen's Hen Farm have a mean weight of 2.11 ounces and a standard deviation of 0.08 ounce. The eggs produced at Rick's chick Farm have a mean weight of 2.15 ounce and a standard deviation of 0.07 ounce. Each farm produces a total of 100,000 eggs per month.

22. If Jen and Rick each randomly select an egg from their farm, who Is more likely to select an egg classified as large?
23. If Jen and Rick each randomly select an egg from their farm, who Is more likely to select an egg classified as medium?
24. Jen and Rick sell their extra large eggs for 90 cents per dozen. Estimate the amount of money they each make per month from the sale of extra large eggs.

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The solution file shows how to use a TI 83 calculator to solve the problems on standard deviation for Jen's Hen Farm and Rick's Chick Farm.

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Chicken eggs are sold according to their size. The chart shows how eggs are classified by their size.

The eggs produced at Jen's Hen Farm and Rick's chick Farm are normally distributed. The eggs produced at Jen's Hen Farm have a mean weight of 2.11 ounces and a standard deviation of 0.08 ounce. The eggs produced at Rick's chick Farm have a mean ...

Solution provided by:
J Pye, MSc
Education
  • MSc, California State Polytechnic University, Pomona
  • MBA, University of California, Riverside
  • BSc, California State Polytechnic University, Pomona
  • BSc, California State Polytechnic University, Pomona
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  • "Hello, thank you for your answer for my probability question. However, I think you interpreted the second and third question differently than was meant, as the assumption still stands that a person still independently ranks the n options first. The probability I am after is the probability that this independently determined ranking then is equal to one of the p fixed rankings. Similarly for the third question, where the x people choose their ranking independently, and then I want the probability that for x people this is equal to one particular ranking. I was wondering if you could help me with this. "
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