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 3.8 percent of laying 1 egg, 7.2 percent of laying 2 eggs, 9.4 percent chance of laying 3 eggs, and 79.6 percent chance of laying 4 eggs. What is the variance of the number of eggs laid by a random sample of 100 gulls? Round your answer to five decimal places.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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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 3.8 percent of laying 1 egg, 7.2 percent of laying 2 eggs, 9.4 percent chance of laying 3 eggs, and 79.6 percent chance of laying 4 eggs. What is the variance of the number of eggs laid by a random sample of 100 gulls? Round your answer to five decimal places.
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