Large black-tailed gulls usually lay one to three eggs, and rarely have a fourth egg clutch. It is thought that clutch sizes are limited by how effectively parents can incubate their eggs. Suppose that on average, gulls have a 11.7% of laying 1 egg, 31.6% of laying 2 eggs, 5.7% chance of laying 3 eggs, and 51% chance of laying 4 eggs. What is the expected value of the number of eggs laid by a random sample of 100 gulls? Round your answer to five decimal places.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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Large black-tailed gulls usually lay one to three eggs, and rarely have a fourth egg clutch. It
is thought that clutch sizes are limited by how effectively parents can incubate their eggs.
Suppose that on average, gulls have a 11.7% of laying 1 egg, 31.6% of laying 2 eggs, 5.7%
chance of laying 3 eggs, and 51% chance of laying 4 eggs. What is the expected value of the
number of eggs laid by a random sample of 100 gulls? Round your answer to five decimal
places.
Transcribed Image Text:Large black-tailed gulls usually lay one to three eggs, and rarely have a fourth egg clutch. It is thought that clutch sizes are limited by how effectively parents can incubate their eggs. Suppose that on average, gulls have a 11.7% of laying 1 egg, 31.6% of laying 2 eggs, 5.7% chance of laying 3 eggs, and 51% chance of laying 4 eggs. What is the expected value of the number of eggs laid by a random sample of 100 gulls? Round your answer to five decimal places.
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