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 13.2% of laying 1 egg, 30.9% of laying 2 eggs, 21.5% chance of laying 3 eggs, and 34.4% 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