Answered: You have chosen three breeds of chicken…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Question

You have chosen three breeds of chicken for your farm after studying their egg-laying capabilities. Of the total of 50 chickens, 10 will be White Leghorns, 30 will be Goldlines, and 10 will be Rhode Island Reds. The Goldlines and the Rhode Island Reds lay brown eggs, and the White Leghorns lay white eggs.

You also have this data on the average number of eggs laid per year by each breed:

White Leghorn: 300 eggs per year
Goldline: 320 eggs per year
Rhode Island Red: 220 eggs per year

If you pick a chicken at random, what is the probability of picking a chicken of each breed? What is that chicken's average yearly egg yield?

Breed	Probability of a Chicken in the Flock Being this Breed	Average Number of Eggs per Year
Goldline
Rhode Island Red
White Leghorn

Use this knowledge of expected values to find how many eggs, on average, you can expect from each chicken you own in its first year of prime egg-laying ability.

You find that many people like brown eggs. How many brown eggs can you expect, on average, from each chicken you own, in the first year?

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